TypeTheory

The mathematical study of type theories, in univalent foundations

This project is maintained by UniMath

Global Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (2117 entries)
Notation Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (95 entries)
Module Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (7 entries)
Variable Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (176 entries)
Library Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (49 entries)
Lemma Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (454 entries)
Projection Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (44 entries)
Section Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (183 entries)
Abbreviation Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (15 entries)
Definition Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (1089 entries)
Record Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (5 entries)

Global Index

A

about_equivalences.εinv [variable, in TypeTheory.Auxiliary.Auxiliary]
about_equivalences.ηinv [variable, in TypeTheory.Auxiliary.Auxiliary]
about_equivalences.ε [variable, in TypeTheory.Auxiliary.Auxiliary]
about_equivalences.η [variable, in TypeTheory.Auxiliary.Auxiliary]
about_equivalences.G [variable, in TypeTheory.Auxiliary.Auxiliary]
about_equivalences.GG [variable, in TypeTheory.Auxiliary.Auxiliary]
about_equivalences.F [variable, in TypeTheory.Auxiliary.Auxiliary]
about_equivalences.D2 [variable, in TypeTheory.Auxiliary.Auxiliary]
about_equivalences.D1 [variable, in TypeTheory.Auxiliary.Auxiliary]
about_equivalences [section, in TypeTheory.Auxiliary.Auxiliary]
access_functions.C [variable, in TypeTheory.Categories.ess_alg_categories]
access_functions [section, in TypeTheory.Categories.ess_alg_categories]
adjcounitiso [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
adjcounitiso [definition, in TypeTheory.Displayed_Cats.Equivalences]
adjunction [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
adjunction [section, in TypeTheory.Displayed_Cats.Equivalences_bis]
adjunction [definition, in TypeTheory.Displayed_Cats.Equivalences]
Adjunctions [section, in TypeTheory.Displayed_Cats.Equivalences_bis]
Adjunctions [section, in TypeTheory.Displayed_Cats.Equivalences]
Adjunctions.notation [section, in TypeTheory.Displayed_Cats.Equivalences_bis]
adjunction_of_equiv_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
adjunction_of_right_adjoint_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
adjunction_of_right_adjoint_over_data [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
adjunction_of_equiv_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
adjunction_of_right_adjoint_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
adjunction_of_right_adjoint_over_id_data [definition, in TypeTheory.Displayed_Cats.Equivalences]
adjunction_data_disc_fib [definition, in TypeTheory.Displayed_Cats.Fibrations]
adjunitiso [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
adjunitiso [definition, in TypeTheory.Displayed_Cats.Equivalences]
adj_from_equiv [definition, in TypeTheory.Auxiliary.Auxiliary]
adj_equivalence_of_precats_ff_split [definition, in TypeTheory.Auxiliary.Auxiliary]
adj_equivalence_of_precats_inv [definition, in TypeTheory.Auxiliary.Auxiliary]
adj_from_adj_equiv [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
adj_equiv_of_precats_from_adj [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
adj_equiv [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
adj_over_data_from_adj_over [definition, in TypeTheory.Displayed_Cats.Equivalences]
adj_equivalence_disc_fib [definition, in TypeTheory.Displayed_Cats.Fibrations]
ALV_2017 [library]
are_adjoints_from_adjunction [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
are_adjoints_from_adjunction [definition, in TypeTheory.Displayed_Cats.Equivalences]
arrow [definition, in TypeTheory.Displayed_Cats.Examples]
arrow [section, in TypeTheory.Displayed_Cats.Examples]
arrow_from_DM [definition, in TypeTheory.OtherDefs.DM]
arrow_disp [definition, in TypeTheory.Displayed_Cats.Examples]
arrow_axioms [lemma, in TypeTheory.Displayed_Cats.Examples]
arrow_data [definition, in TypeTheory.Displayed_Cats.Examples]
arrow_id_comp [definition, in TypeTheory.Displayed_Cats.Examples]
arrow_disp_ob_mor [definition, in TypeTheory.Displayed_Cats.Examples]
Arrow_Disp [section, in TypeTheory.Displayed_Cats.Examples]
arrow.C [variable, in TypeTheory.Displayed_Cats.Examples]
assoc [definition, in TypeTheory.Categories.ess_alg_categories]
assoc_ax [definition, in TypeTheory.Categories.ess_alg_categories]
assoc_disp_var [definition, in TypeTheory.Displayed_Cats.Core]
assoc_disp [definition, in TypeTheory.Displayed_Cats.Core]
Auxiliary [section, in TypeTheory.Displayed_Cats.Equivalences_bis]
Auxiliary [section, in TypeTheory.Displayed_Cats.Equivalences]
Auxiliary [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Auxiliary [section, in TypeTheory.Categories.category_FAM]
Auxiliary [section, in TypeTheory.Displayed_Cats.Constructions]
Auxiliary [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Comparison]
Auxiliary [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Auxiliary [section, in TypeTheory.ALV1.CwF_def]
Auxiliary [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
Auxiliary [section, in TypeTheory.Displayed_Cats.Limits]
Auxiliary [library]
Auxiliary [library]
axioms [section, in TypeTheory.Categories.ess_alg_categories]
axioms_of_equiv_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
axioms_of_equiv_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
axioms.i [variable, in TypeTheory.Categories.ess_alg_categories]


B

bar [definition, in TypeTheory.Displayed_Cats.Fibrations]
base_paths_subst_type_pair_p [lemma, in TypeTheory.Instances.Presheaves]
base_paths_subst_type_comp [lemma, in TypeTheory.Instances.Presheaves]
base_paths_subst_type_id [lemma, in TypeTheory.Instances.Presheaves]
bla [lemma, in TypeTheory.Categories.category_of_elements]


C

cancel_precomposition_iso [lemma, in TypeTheory.Displayed_Cats.Core]
cancel_precomposition_disp [lemma, in TypeTheory.Displayed_Cats.Core]
cancel_postcomposition_disp [lemma, in TypeTheory.Displayed_Cats.Core]
canonical_TM_to_given_te [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
canonical_TM_to_given_iso [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
canonical_TM_to_given_pointwise_iso [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
canonical_to_given_to_canonical [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
canonical_TM_to_given_paths_adjoint [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
canonical_TM_to_given [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
canonical_TM_to_given_data [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
cartesian [definition, in TypeTheory.Displayed_Cats.Examples]
cartesian_lifts_iso_commutes [definition, in TypeTheory.Displayed_Cats.Fibrations]
cartesian_lifts_iso [definition, in TypeTheory.Displayed_Cats.Fibrations]
cartesian_lift_is_cartesian [definition, in TypeTheory.Displayed_Cats.Fibrations]
cartesian_lift [definition, in TypeTheory.Displayed_Cats.Fibrations]
cartesian_factorisation_commutes' [definition, in TypeTheory.Displayed_Cats.Fibrations]
cartesian_factorisation' [definition, in TypeTheory.Displayed_Cats.Fibrations]
cartesian_factorisation_unique [definition, in TypeTheory.Displayed_Cats.Fibrations]
cartesian_factorisation_commutes [definition, in TypeTheory.Displayed_Cats.Fibrations]
cartesian_factorisation [definition, in TypeTheory.Displayed_Cats.Fibrations]
cartesian_product.C' [variable, in TypeTheory.Displayed_Cats.Examples]
cartesian_product.C [variable, in TypeTheory.Displayed_Cats.Examples]
cartesian_product [section, in TypeTheory.Displayed_Cats.Examples]
cartesian_product_pb.C' [variable, in TypeTheory.Displayed_Cats.Examples]
cartesian_product_pb.C [variable, in TypeTheory.Displayed_Cats.Examples]
cartesian_product_pb [section, in TypeTheory.Displayed_Cats.Examples]
cartesian_functor_from_cleaving [lemma, in TypeTheory.Displayed_Cats.ComprehensionC]
cartesian_functor_from_fibration [lemma, in TypeTheory.Displayed_Cats.ComprehensionC]
cartesian_iff_isPullback [definition, in TypeTheory.Displayed_Cats.Codomain]
cartesian_isPullback_in_cod_disp [definition, in TypeTheory.Displayed_Cats.Codomain]
CategoryTheoryImports [library]
_ × _ (cat) [notation, in TypeTheory.Displayed_Cats.Auxiliary]
category_products [section, in TypeTheory.Displayed_Cats.Auxiliary]
[notation, in TypeTheory.Categories.category_of_elements]
category_of_elements_covariant.F [variable, in TypeTheory.Categories.category_of_elements]
category_of_elements_covariant.C [variable, in TypeTheory.Categories.category_of_elements]
category_of_elements_covariant [section, in TypeTheory.Categories.category_of_elements]
category_FAM [library]
category_of_elements [library]
cleaving [definition, in TypeTheory.Displayed_Cats.Fibrations]
cleaving_mor [definition, in TypeTheory.Displayed_Cats.Fibrations]
cleaving_ob [definition, in TypeTheory.Displayed_Cats.Fibrations]
Codomain [library]
Codomain_Disp [section, in TypeTheory.Displayed_Cats.Codomain]
cod_disp_axioms [lemma, in TypeTheory.Displayed_Cats.Codomain]
cod_disp_data [definition, in TypeTheory.Displayed_Cats.Codomain]
cod_id_comp [definition, in TypeTheory.Displayed_Cats.Codomain]
cod_disp_ob_mor [definition, in TypeTheory.Displayed_Cats.Codomain]
commutes_and_is_pullback_transfer_iso [lemma, in TypeTheory.Auxiliary.Auxiliary]
commutes_and_is_pullback [definition, in TypeTheory.Auxiliary.Auxiliary]
commuting_square_transfer_iso [lemma, in TypeTheory.Auxiliary.Auxiliary]
comp [definition, in TypeTheory.Categories.ess_alg_categories]
compare_term_qq_equivs [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Comparison]
compare_maps [section, in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat_to_DM]
compatible_term_from_qq [definition, in TypeTheory.Articles.ALV_2017]
compatible_qq_from_term [definition, in TypeTheory.Articles.ALV_2017]
compatible_qq_morphism_structure_equals_canonical [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
compatible_term_structure_equals_canonical [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
compatible_qq_from_term [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
compatible_term_from_qq [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
compatible_qq_morphism_structure [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
compatible_term_structure [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
compat_structures_pr2_fully_faithful [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
compat_structures_pr2_split_ess_surj [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
compat_structures_pr1_fully_faithful [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
compat_structures_pr1_split_ess_surj [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
compat_structures_pr2_functor [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
compat_structures_pr1_functor [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
compat_structures_precategory [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
compat_structures_pr2_inverse_over_id [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr2_equiv_over_id [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr2_is_equiv_over_id [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr2_ff [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr2_ess_split [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_inverse_over_id [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_equiv_over_id [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_is_equiv_over_id [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_ff [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_ess_split [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr2_fully_faithful [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr2_ess_surj [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_fully_faithful [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_ess_surj [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr2_functor [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_functor [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_precat [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr2_disp_functor [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_disp_functor [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_disp_cat [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
composition [definition, in TypeTheory.Categories.ess_and_gen_alg_cats]
composition_assoc [definition, in TypeTheory.Categories.ess_and_gen_alg_cats]
ComprehensionC [library]
comprehension_of_dm_structure_triangle_commutes [lemma, in TypeTheory.Displayed_Cats.ComprehensionC]
comprehension_of_dm_structure [definition, in TypeTheory.Displayed_Cats.ComprehensionC]
comprehension_of_dm_structure_axioms [definition, in TypeTheory.Displayed_Cats.ComprehensionC]
comprehension_of_dm_structure_data [definition, in TypeTheory.Displayed_Cats.ComprehensionC]
comprehension_cat_structure [definition, in TypeTheory.Displayed_Cats.ComprehensionC]
comp_target [definition, in TypeTheory.Categories.ess_alg_categories]
comp_source [definition, in TypeTheory.Categories.ess_alg_categories]
comp_target_ax [definition, in TypeTheory.Categories.ess_alg_categories]
comp_source_ax [definition, in TypeTheory.Categories.ess_alg_categories]
comp_op [definition, in TypeTheory.Categories.ess_alg_categories]
comp_adj_equivalence_of_precats [definition, in TypeTheory.Auxiliary.Auxiliary]
comp_adjunction [definition, in TypeTheory.Auxiliary.Auxiliary]
comp_law_4_of_typecat [lemma, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
comp_law_3_of_typecat [lemma, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
comp_laws_1_2_of_typecat [lemma, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
comp_2_struct_of_typecat [definition, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
comp_1_struct_of_typecat [definition, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
comp_ext_compare_qq_general [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_qq [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_Q [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_comp_general [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_π [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_inv [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_comp [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_id_general [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_id [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_te [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
comp_cat_of_dm [definition, in TypeTheory.Displayed_Cats.ComprehensionC]
Comp_Cat_of_DM_Structure.H [variable, in TypeTheory.Displayed_Cats.ComprehensionC]
Comp_Cat_of_DM_Structure [section, in TypeTheory.Displayed_Cats.ComprehensionC]
comp_law_4 [definition, in TypeTheory.OtherDefs.CwF_Pitts]
comp_law_3 [definition, in TypeTheory.OtherDefs.CwF_Pitts]
comp_laws_1_2 [definition, in TypeTheory.OtherDefs.CwF_Pitts]
comp_2_struct [definition, in TypeTheory.OtherDefs.CwF_Pitts]
comp_obj [definition, in TypeTheory.OtherDefs.CwF_Pitts]
comp_1_struct [definition, in TypeTheory.OtherDefs.CwF_Pitts]
comp_disp [definition, in TypeTheory.Displayed_Cats.Core]
comp_law_4 [definition, in TypeTheory.OtherDefs.CwF_1]
comp_law_3 [definition, in TypeTheory.OtherDefs.CwF_1]
comp_laws_1_2 [definition, in TypeTheory.OtherDefs.CwF_1]
comp_2_struct [definition, in TypeTheory.OtherDefs.CwF_1]
comp_obj [definition, in TypeTheory.OtherDefs.CwF_1]
comp_1_struct [definition, in TypeTheory.OtherDefs.CwF_1]
Constructions [library]
continuous_comp [lemma, in TypeTheory.Displayed_Cats.Examples]
Core [library]
counit_comp [definition, in TypeTheory.Auxiliary.Auxiliary]
counit_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
counit_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
counit_over [definition, in TypeTheory.Displayed_Cats.Equivalences]
creates_limits_functor_alg [definition, in TypeTheory.Displayed_Cats.Examples]
creates_preserves [section, in TypeTheory.Displayed_Cats.Limits]
creates_limits [definition, in TypeTheory.Displayed_Cats.Limits]
creates_limit [definition, in TypeTheory.Displayed_Cats.Limits]
Creates_Limits [section, in TypeTheory.Displayed_Cats.Limits]
ctx_last [definition, in TypeTheory.Instances.Presheaves]
ctx_proj [definition, in TypeTheory.Instances.Presheaves]
ctx_ext [definition, in TypeTheory.Instances.Presheaves]
CwF [section, in TypeTheory.Instances.Presheaves]
cwf [definition, in TypeTheory.ALV1.CwF_def]
CwF_completion [section, in TypeTheory.OtherDefs.CwF_Pitts_completion]
cwf_repmap_diagram [lemma, in TypeTheory.ALV1.RepMaps]
cwf_natural_rep_map_def [lemma, in TypeTheory.ALV1.RepMaps]
cwf_of_typecat [definition, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
cwf_laws_of_typecat [lemma, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
CwF_of_Comp [section, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
CwF_lemmas [section, in TypeTheory.OtherDefs.CwF_Pitts]
cwf_law_4 [definition, in TypeTheory.OtherDefs.CwF_Pitts]
cwf_law_3_gen [definition, in TypeTheory.OtherDefs.CwF_Pitts]
cwf_law_3 [definition, in TypeTheory.OtherDefs.CwF_Pitts]
cwf_law_2_gen [definition, in TypeTheory.OtherDefs.CwF_Pitts]
cwf_law_2 [definition, in TypeTheory.OtherDefs.CwF_Pitts]
cwf_law_1 [definition, in TypeTheory.OtherDefs.CwF_Pitts]
cwf_terms_isaset [definition, in TypeTheory.OtherDefs.CwF_Pitts]
cwf_types_isaset [definition, in TypeTheory.OtherDefs.CwF_Pitts]
cwf_comp_laws [definition, in TypeTheory.OtherDefs.CwF_Pitts]
cwf_laws_from_cwf_struct [definition, in TypeTheory.OtherDefs.CwF_Pitts]
cwf_data_from_cwf_struct [definition, in TypeTheory.OtherDefs.CwF_Pitts]
cwf_struct [definition, in TypeTheory.OtherDefs.CwF_Pitts]
cwf_laws [definition, in TypeTheory.OtherDefs.CwF_Pitts]
CwF_RC_recover.RCequiv [variable, in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.ηη [variable, in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.hsRCop [variable, in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.pp' [variable, in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.pp [variable, in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.TY' [variable, in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.TY [variable, in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.TM' [variable, in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.TM [variable, in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.T' [variable, in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.RC [variable, in TypeTheory.ALV1.CwF_def]
CwF_RC_recover [section, in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.Fopequiv [variable, in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.isweq_Fcomp [variable, in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.ηη [variable, in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.hsDop [variable, in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.pp' [variable, in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.pp [variable, in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.TY' [variable, in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.TY [variable, in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.TM' [variable, in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.TM [variable, in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.T' [variable, in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.DD [variable, in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover [section, in TypeTheory.ALV1.CwF_def]
CwF_RelUnivYo.Representation_FComprehension [section, in TypeTheory.ALV1.CwF_def]
CwF_RelUnivYo [section, in TypeTheory.ALV1.CwF_def]
cwf_fiber_representation_weq [definition, in TypeTheory.ALV1.CwF_def]
cwf_fiber_representation' [definition, in TypeTheory.ALV1.CwF_def]
cwf_fiber_rep_ax [definition, in TypeTheory.ALV1.CwF_def]
cwf_fiber_rep_data [definition, in TypeTheory.ALV1.CwF_def]
cwf_square_comm_converse [lemma, in TypeTheory.ALV1.CwF_def]
CwF_Lemmas [section, in TypeTheory.ALV1.CwF_def]
cwf_structure [definition, in TypeTheory.ALV1.CwF_def]
cwf_representation [definition, in TypeTheory.ALV1.CwF_def]
cwf_fiber_representation [definition, in TypeTheory.ALV1.CwF_def]
cwf_square_comm [lemma, in TypeTheory.ALV1.CwF_def]
cwf_tm_of_ty [definition, in TypeTheory.ALV1.CwF_def]
CwF_lemmas [section, in TypeTheory.OtherDefs.CwF_1]
cwf_law_4 [definition, in TypeTheory.OtherDefs.CwF_1]
cwf_law_3_gen [definition, in TypeTheory.OtherDefs.CwF_1]
cwf_law_3 [definition, in TypeTheory.OtherDefs.CwF_1]
cwf_law_2_gen [definition, in TypeTheory.OtherDefs.CwF_1]
cwf_law_2 [definition, in TypeTheory.OtherDefs.CwF_1]
cwf_law_1 [definition, in TypeTheory.OtherDefs.CwF_1]
cwf_terms_isaset [definition, in TypeTheory.OtherDefs.CwF_1]
cwf_types_isaset [definition, in TypeTheory.OtherDefs.CwF_1]
cwf_comp_laws [definition, in TypeTheory.OtherDefs.CwF_1]
cwf_laws_from_cwf_struct [definition, in TypeTheory.OtherDefs.CwF_1]
cwf_data_from_cwf_struct [definition, in TypeTheory.OtherDefs.CwF_1]
cwf_struct [definition, in TypeTheory.OtherDefs.CwF_1]
cwf_laws [definition, in TypeTheory.OtherDefs.CwF_1]
CwF_Pitts_completion [library]
CwF_def [library]
CwF_Pitts_to_DM [library]
CwF_Pitts [library]
CwF_SplitTypeCat_Equiv_Comparison [library]
CwF_SplitTypeCat_Equivalence [library]
CwF_Pitts_to_TypeCat_to_DM [library]
CwF_SplitTypeCat_Defs [library]
CwF_Pitts_to_TypeCat [library]
CwF_Defs_Equiv [library]
CwF_Dybjer [library]
CwF_SplitTypeCat_Maps [library]
CwF_SplitTypeCat_Equiv_Cats [library]
CwF_SplitTypeCat_Cats [library]
CwF_SplitTypeCat_Cats_Standalone [library]
CwF_1 [library]
CwF_SplitTypeCat_Univalent_Cats [library]
cwf' [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
cwf'_structure_of_cwf' [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
cwf'_structure [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
_ ⋆ _ [notation, in TypeTheory.Instances.Presheaves]
_ ⦃ _ ⦄ [notation, in TypeTheory.Instances.Presheaves]
_ ⊢ _ [notation, in TypeTheory.Instances.Presheaves]
_ ⊢ [notation, in TypeTheory.Instances.Presheaves]
cwf1_structure [definition, in TypeTheory.ALV1.CwF_Defs_Equiv]


D

data_of_right_adjoint_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
data_of_disp_adjunction [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
data_from_adjunction [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
data_of_right_adjoint_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
data_of_disp_adjunction_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
data_from_adjunction [definition, in TypeTheory.Displayed_Cats.Equivalences]
Dirprod [section, in TypeTheory.Displayed_Cats.Constructions]
dirprodpr1_disp_functor [definition, in TypeTheory.Displayed_Cats.Constructions]
dirprodpr1_disp_functor_axioms [definition, in TypeTheory.Displayed_Cats.Constructions]
dirprodpr1_disp_functor_data [definition, in TypeTheory.Displayed_Cats.Constructions]
dirprodpr2_disp_functor [definition, in TypeTheory.Displayed_Cats.Constructions]
dirprodpr2_disp_functor_axioms [definition, in TypeTheory.Displayed_Cats.Constructions]
dirprodpr2_disp_functor_data [definition, in TypeTheory.Displayed_Cats.Constructions]
dirprod_disp_cat [definition, in TypeTheory.Displayed_Cats.Constructions]
dirprod_disp_cat_axioms [definition, in TypeTheory.Displayed_Cats.Constructions]
dirprod_disp_cat_data [definition, in TypeTheory.Displayed_Cats.Constructions]
dirprod_disp_cat_id_comp [definition, in TypeTheory.Displayed_Cats.Constructions]
dirprod_disp_cat_ob_mor [definition, in TypeTheory.Displayed_Cats.Constructions]
dirprod_pair_maps [definition, in TypeTheory.Displayed_Cats.Auxiliary]
dirprod_maps [definition, in TypeTheory.Displayed_Cats.Auxiliary]
dirprod_assoc [definition, in TypeTheory.Displayed_Cats.Auxiliary]
dirprod_paths [definition, in TypeTheory.Displayed_Cats.Auxiliary]
Dirprod_utils [section, in TypeTheory.Displayed_Cats.Auxiliary]
Discrete_Fibrations.Equivalence_disc_fibs_presheaves.C [variable, in TypeTheory.Displayed_Cats.Fibrations]
Discrete_Fibrations.Equivalence_disc_fibs_presheaves [section, in TypeTheory.Displayed_Cats.Fibrations]
discrete_fibration [definition, in TypeTheory.Displayed_Cats.Fibrations]
Discrete_Fibrations [section, in TypeTheory.Displayed_Cats.Fibrations]
discrete_cat_nat_trans [definition, in TypeTheory.Displayed_Cats.Auxiliary]
discrete_cat [definition, in TypeTheory.Displayed_Cats.Auxiliary]
Discrete_cats [section, in TypeTheory.Displayed_Cats.Auxiliary]
disc_fib_from_preshv [definition, in TypeTheory.Displayed_Cats.Fibrations]
DisplayedCatFromCwDM [library]
Displayed_Equiv_Compose [section, in TypeTheory.Displayed_Cats.Equivalences]
Displayed_Equiv_Inv.ε [variable, in TypeTheory.Displayed_Cats.Equivalences]
Displayed_Equiv_Inv.η [variable, in TypeTheory.Displayed_Cats.Equivalences]
Displayed_Equiv_Inv.GG [variable, in TypeTheory.Displayed_Cats.Equivalences]
Displayed_Equiv_Inv [section, in TypeTheory.Displayed_Cats.Equivalences]
disp_functor_id_ff_reflects_isos [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
disp_adjunction [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
disp_adjunction_data [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
disp_functor_id_ff_reflects_isos [definition, in TypeTheory.Displayed_Cats.Equivalences]
disp_adjunction_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
disp_adjunction_id_data [definition, in TypeTheory.Displayed_Cats.Equivalences]
disp_adjunction [definition, in TypeTheory.Displayed_Cats.Equivalences]
disp_adjunction.notation [section, in TypeTheory.Displayed_Cats.Equivalences]
disp_adjunction_data [definition, in TypeTheory.Displayed_Cats.Equivalences]
disp_adjunction [section, in TypeTheory.Displayed_Cats.Equivalences]
disp_functor_cat [definition, in TypeTheory.Displayed_Cats.Constructions]
disp_nat_trans_assoc [lemma, in TypeTheory.Displayed_Cats.Constructions]
disp_nat_trans_id_right [lemma, in TypeTheory.Displayed_Cats.Constructions]
disp_nat_trans_id_left [lemma, in TypeTheory.Displayed_Cats.Constructions]
disp_struct [definition, in TypeTheory.Displayed_Cats.Constructions]
disp_struct_axioms [definition, in TypeTheory.Displayed_Cats.Constructions]
disp_struct_data [definition, in TypeTheory.Displayed_Cats.Constructions]
disp_struct_id_comp [definition, in TypeTheory.Displayed_Cats.Constructions]
disp_struct_ob_mor [definition, in TypeTheory.Displayed_Cats.Constructions]
disp_full_sub [definition, in TypeTheory.Displayed_Cats.Constructions]
disp_full_sub_axioms [definition, in TypeTheory.Displayed_Cats.Constructions]
disp_full_sub_data [definition, in TypeTheory.Displayed_Cats.Constructions]
disp_full_sub_id_comp [definition, in TypeTheory.Displayed_Cats.Constructions]
disp_full_sub_ob_mor [definition, in TypeTheory.Displayed_Cats.Constructions]
disp_cat_from_preshv [definition, in TypeTheory.Displayed_Cats.Fibrations]
disp_mor_unique_disc_fib [lemma, in TypeTheory.Displayed_Cats.Fibrations]
disp_cat_from_discrete_fibration [definition, in TypeTheory.Displayed_Cats.Fibrations]
disp_cartesian' [definition, in TypeTheory.Displayed_Cats.Examples]
disp_cartesian_axioms [definition, in TypeTheory.Displayed_Cats.Examples]
disp_cartesian_data [definition, in TypeTheory.Displayed_Cats.Examples]
disp_cartesian_ob_mor [definition, in TypeTheory.Displayed_Cats.Examples]
disp_domain [definition, in TypeTheory.Displayed_Cats.Examples]
disp_arrow [definition, in TypeTheory.Displayed_Cats.Examples]
disp_arrow_axioms [definition, in TypeTheory.Displayed_Cats.Examples]
disp_arrow_data [definition, in TypeTheory.Displayed_Cats.Examples]
disp_cartesian [definition, in TypeTheory.Displayed_Cats.Examples]
disp_over_unit [definition, in TypeTheory.Displayed_Cats.Examples]
disp_over_unit_axioms [definition, in TypeTheory.Displayed_Cats.Examples]
disp_over_unit_data [definition, in TypeTheory.Displayed_Cats.Examples]
disp_cat_monad_alg [definition, in TypeTheory.Displayed_Cats.Examples]
disp_cat_monad_alg_over_functor_alg [definition, in TypeTheory.Displayed_Cats.Examples]
disp_cat_functor_alg [definition, in TypeTheory.Displayed_Cats.Examples]
disp_cat_of_elements [definition, in TypeTheory.Displayed_Cats.Examples]
disp_top [definition, in TypeTheory.Displayed_Cats.Examples]
disp_functor_id_composite [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
disp_codomain [definition, in TypeTheory.Displayed_Cats.Codomain]
disp_cat_from_SIP_data [definition, in TypeTheory.Displayed_Cats.SIP]
disp_nat_trans_comp [definition, in TypeTheory.Displayed_Cats.Core]
disp_nat_trans_comp_ax [definition, in TypeTheory.Displayed_Cats.Core]
disp_nat_trans_id [definition, in TypeTheory.Displayed_Cats.Core]
disp_nat_trans_id_ax [definition, in TypeTheory.Displayed_Cats.Core]
disp_nat_trans_ax_var [lemma, in TypeTheory.Displayed_Cats.Core]
disp_nat_trans_ax [definition, in TypeTheory.Displayed_Cats.Core]
disp_nat_trans_pr1 [definition, in TypeTheory.Displayed_Cats.Core]
disp_nat_trans [definition, in TypeTheory.Displayed_Cats.Core]
disp_nat_trans_axioms [definition, in TypeTheory.Displayed_Cats.Core]
disp_nat_trans_data [definition, in TypeTheory.Displayed_Cats.Core]
Disp_Nat_Trans [section, in TypeTheory.Displayed_Cats.Core]
Disp_Functor.Total_Functors [section, in TypeTheory.Displayed_Cats.Core]
disp_functor_disp_ess_split_surj [definition, in TypeTheory.Displayed_Cats.Core]
disp_functor_ess_split_surj [definition, in TypeTheory.Displayed_Cats.Core]
disp_functor_ff_reflects_isos [definition, in TypeTheory.Displayed_Cats.Core]
disp_functor_ff_inv_compose [lemma, in TypeTheory.Displayed_Cats.Core]
disp_functor_ff_inv_identity [lemma, in TypeTheory.Displayed_Cats.Core]
disp_functor_ff_inv_transportf [lemma, in TypeTheory.Displayed_Cats.Core]
disp_functor_ff_inv [definition, in TypeTheory.Displayed_Cats.Core]
disp_functor_ff_weq [definition, in TypeTheory.Displayed_Cats.Core]
Disp_Functor.Functor_Properties.ff_reflects_isos [section, in TypeTheory.Displayed_Cats.Core]
disp_functor_ff [definition, in TypeTheory.Displayed_Cats.Core]
Disp_Functor.Functor_Properties [section, in TypeTheory.Displayed_Cats.Core]
disp_functor_on_iso_disp [definition, in TypeTheory.Displayed_Cats.Core]
disp_functor_on_is_iso_disp [definition, in TypeTheory.Displayed_Cats.Core]
disp_functor_on_iso_disp_aux2 [lemma, in TypeTheory.Displayed_Cats.Core]
disp_functor_on_iso_disp_aux1 [lemma, in TypeTheory.Displayed_Cats.Core]
Disp_Functor.Functors_on_isos [section, in TypeTheory.Displayed_Cats.Core]
disp_functor_identity [definition, in TypeTheory.Displayed_Cats.Core]
disp_functor_composite [definition, in TypeTheory.Displayed_Cats.Core]
disp_functor_composite_axioms [lemma, in TypeTheory.Displayed_Cats.Core]
disp_functor_composite_data [definition, in TypeTheory.Displayed_Cats.Core]
disp_functor_transportf [lemma, in TypeTheory.Displayed_Cats.Core]
disp_functor_comp_var [definition, in TypeTheory.Displayed_Cats.Core]
disp_functor_comp [definition, in TypeTheory.Displayed_Cats.Core]
disp_functor_id [definition, in TypeTheory.Displayed_Cats.Core]
disp_functor_data_from_disp_functor [definition, in TypeTheory.Displayed_Cats.Core]
disp_functor [definition, in TypeTheory.Displayed_Cats.Core]
disp_functor_axioms [definition, in TypeTheory.Displayed_Cats.Core]
# _ (mor_disp_scope) [notation, in TypeTheory.Displayed_Cats.Core]
disp_functor_on_morphisms [definition, in TypeTheory.Displayed_Cats.Core]
disp_functor_on_objects [definition, in TypeTheory.Displayed_Cats.Core]
disp_functor_data [definition, in TypeTheory.Displayed_Cats.Core]
Disp_Functor [section, in TypeTheory.Displayed_Cats.Core]
disp_univalent_category_is_univalent_disp [definition, in TypeTheory.Displayed_Cats.Core]
disp_cat_of_disp_univalent_cat [definition, in TypeTheory.Displayed_Cats.Core]
disp_univalent_category_pair [definition, in TypeTheory.Displayed_Cats.Core]
disp_univalent_category [definition, in TypeTheory.Displayed_Cats.Core]
Disp_Cat.Lemmas [section, in TypeTheory.Displayed_Cats.Core]
disp_cat_data_from_disp_cat [definition, in TypeTheory.Displayed_Cats.Core]
disp_cat [definition, in TypeTheory.Displayed_Cats.Core]
disp_cat_axioms [definition, in TypeTheory.Displayed_Cats.Core]
_ ;; _ (mor_disp_scope) [notation, in TypeTheory.Displayed_Cats.Core]
disp_cat_ob_mor_from_disp_cat_data [definition, in TypeTheory.Displayed_Cats.Core]
disp_cat_data [definition, in TypeTheory.Displayed_Cats.Core]
disp_cat_id_comp [definition, in TypeTheory.Displayed_Cats.Core]
_ -->[ _ ] _ [notation, in TypeTheory.Displayed_Cats.Core]
disp_cat_ob_mor [definition, in TypeTheory.Displayed_Cats.Core]
Disp_Cat [section, in TypeTheory.Displayed_Cats.Core]
DM [definition, in TypeTheory.OtherDefs.DM]
DM [library]
DM_to_TypeCat_to_DM [lemma, in TypeTheory.OtherDefs.DM_to_TypeCat_to_DM]
DM_structure_of_TypeCat [definition, in TypeTheory.OtherDefs.TypeCat_to_DM]
dm_sub_pb_of_TypeCat [definition, in TypeTheory.OtherDefs.TypeCat_to_DM]
dm_sub_closed_under_iso_of_TypeCat [lemma, in TypeTheory.OtherDefs.TypeCat_to_DM]
dm_sub_struct_of_TypeCat [definition, in TypeTheory.OtherDefs.TypeCat_to_DM]
DM_equal [definition, in TypeTheory.OtherDefs.DM]
dm_sub_pb_from_DM_structure [definition, in TypeTheory.OtherDefs.DM]
DM_structure [definition, in TypeTheory.OtherDefs.DM]
dm_sub_of_dm_sub_pb [definition, in TypeTheory.OtherDefs.DM]
dm_sub_pb [definition, in TypeTheory.OtherDefs.DM]
dm_sub_closed_under_iso [definition, in TypeTheory.OtherDefs.DM]
DM_over_from_DM [definition, in TypeTheory.OtherDefs.DM]
DM_from_DM_over [definition, in TypeTheory.OtherDefs.DM]
DM_over [definition, in TypeTheory.OtherDefs.DM]
DM_type [definition, in TypeTheory.OtherDefs.DM]
dm_sub_struct [definition, in TypeTheory.OtherDefs.DM]
DM_disp [definition, in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
DM_disp_axioms [lemma, in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
DM_disp_data [definition, in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
DM_disp_id_comp [definition, in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
DM_disp_ob_mor [definition, in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
DM_Disp.Displayed_Cat_of_Class_of_Maps [section, in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
DM_Disp [section, in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
DM_to_TypeCat.C [variable, in TypeTheory.OtherDefs.DM_to_TypeCat]
DM_to_TypeCat.hs [variable, in TypeTheory.OtherDefs.DM_to_TypeCat]
DM_to_TypeCat.CC [variable, in TypeTheory.OtherDefs.DM_to_TypeCat]
DM_to_TypeCat [section, in TypeTheory.OtherDefs.DM_to_TypeCat]
DM_structure_of_CwF [definition, in TypeTheory.OtherDefs.CwF_Pitts_to_DM]
dm_sub_pb_of_CwF [definition, in TypeTheory.OtherDefs.CwF_Pitts_to_DM]
dm_sub_closed_under_iso_of_CwF [lemma, in TypeTheory.OtherDefs.CwF_Pitts_to_DM]
dm_sub_struct_of_CwF [definition, in TypeTheory.OtherDefs.CwF_Pitts_to_DM]
DM_of_CwF [section, in TypeTheory.OtherDefs.CwF_Pitts_to_DM]
DM_to_TypeCat_to_DM [library]
DM_to_TypeCat [library]
dpr [definition, in TypeTheory.ALV1.CwF_Defs_Equiv]
dpr_q_typecat [definition, in TypeTheory.ALV1.TypeCat]
dpr_typecat [definition, in TypeTheory.ALV1.TypeCat]
dpr_q_pbpairing_precwf_unique [definition, in TypeTheory.OtherDefs.CwF_Pitts]
dpr_q_pbpairing_precwf_mapunique [definition, in TypeTheory.OtherDefs.CwF_Pitts]
dpr_q_pbpairing_precwf [definition, in TypeTheory.OtherDefs.CwF_Pitts]
dpr_q_pbpairing_commutes [definition, in TypeTheory.OtherDefs.CwF_Pitts]
dpr_q_pbpairing_precwf_aux [definition, in TypeTheory.OtherDefs.CwF_Pitts]
dpr_q_precwf [definition, in TypeTheory.OtherDefs.CwF_Pitts]
dpr_q_pbpairing_precwf_unique [definition, in TypeTheory.OtherDefs.CwF_1]
dpr_q_pbpairing_precwf_mapunique [definition, in TypeTheory.OtherDefs.CwF_1]
dpr_q_pbpairing_precwf [definition, in TypeTheory.OtherDefs.CwF_1]
dpr_q_pbpairing_commutes [definition, in TypeTheory.OtherDefs.CwF_1]
dpr_q_pbpairing_precwf_aux [definition, in TypeTheory.OtherDefs.CwF_1]
dpr_q_precwf [definition, in TypeTheory.OtherDefs.CwF_1]


E

elements_universal [definition, in TypeTheory.Displayed_Cats.Examples]
elements_axioms [lemma, in TypeTheory.Displayed_Cats.Examples]
elements_data [definition, in TypeTheory.Displayed_Cats.Examples]
elements_id_comp [lemma, in TypeTheory.Displayed_Cats.Examples]
elements_ob_mor [definition, in TypeTheory.Displayed_Cats.Examples]
Elements_Disp [section, in TypeTheory.Displayed_Cats.Examples]
Elem_cov_iso_type_equiv_Elem_cov_iso [definition, in TypeTheory.Categories.category_of_elements]
Elem_cov_iso_type_to_Elem_cov_iso [definition, in TypeTheory.Categories.category_of_elements]
Elem_cov_iso_to_Elem_cov_iso_type [definition, in TypeTheory.Categories.category_of_elements]
Elem_cov_iso_gives_iso [definition, in TypeTheory.Categories.category_of_elements]
Elem_cov_iso_type_eq [definition, in TypeTheory.Categories.category_of_elements]
Elem_cov_iso_type [definition, in TypeTheory.Categories.category_of_elements]
epsinv [definition, in TypeTheory.ALV1.Transport_along_Equivs]
Equivalences [section, in TypeTheory.Displayed_Cats.Equivalences_bis]
Equivalences [section, in TypeTheory.Displayed_Cats.Equivalences]
Equivalences [library]
Equivalences_bis [library]
equiv_of_types_equal_direct_constr [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
equiv_of_types_of_structures [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
equiv_of_structures [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
Equiv_Fibers [section, in TypeTheory.Displayed_Cats.Equivalences_bis]
Equiv_from_ff_plus_ess_split.FFinv [variable, in TypeTheory.Displayed_Cats.Equivalences_bis]
Equiv_from_ff_plus_ess_split.FFweq [variable, in TypeTheory.Displayed_Cats.Equivalences_bis]
Equiv_from_ff_plus_ess_split [section, in TypeTheory.Displayed_Cats.Equivalences_bis]
equiv_of_is_equiv_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
equiv_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
equiv_from_adj_equiv [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
Equiv_Fibers [section, in TypeTheory.Displayed_Cats.Equivalences]
equiv_inv [definition, in TypeTheory.Displayed_Cats.Equivalences]
Equiv_from_ff_plus_ess_split.FFinv [variable, in TypeTheory.Displayed_Cats.Equivalences]
Equiv_from_ff_plus_ess_split.FFweq [variable, in TypeTheory.Displayed_Cats.Equivalences]
Equiv_from_ff_plus_ess_split [section, in TypeTheory.Displayed_Cats.Equivalences]
equiv_of_is_equiv_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
equiv_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
equiv_Fcomp [definition, in TypeTheory.ALV1.Transport_along_Equivs]
eqv_from_ess_split_and_ff.Finv [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_from_ess_split_and_ff.Fweq [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_from_ess_split_and_ff [section, in TypeTheory.Auxiliary.Auxiliary]
eqv_inv.εiso [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_inv.ηiso [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_inv.G [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_inv.ε [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_inv.η [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_inv.adEquivF [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_inv [section, in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.HF' [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.HF [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp.G' [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp.G [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp.ε' [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp.ε [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp.η' [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp.η [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp.adF' [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp.adF [variable, in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp [section, in TypeTheory.Auxiliary.Auxiliary]
eqv_comp [section, in TypeTheory.Auxiliary.Auxiliary]
eqweqmap_not [lemma, in TypeTheory.Categories.category_FAM]
eq_equiv_from_retraction [lemma, in TypeTheory.Auxiliary.Auxiliary]
eq_standalone_structural [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
eq_idto1_idto2 [lemma, in TypeTheory.Displayed_Cats.Constructions]
eq_weq [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Comparison]
eq_discrete_fib_mor [lemma, in TypeTheory.Displayed_Cats.Fibrations]
eq_exists_unique [lemma, in TypeTheory.Displayed_Cats.Fibrations]
eq_iso_disp [lemma, in TypeTheory.Displayed_Cats.Core]
Essential_Surjectivity [section, in TypeTheory.Displayed_Cats.Equivalences_bis]
Essential_Surjectivity [section, in TypeTheory.Displayed_Cats.Equivalences]
ess_alg_cat [definition, in TypeTheory.Categories.ess_alg_categories]
ess_alg_cat_axioms [definition, in TypeTheory.Categories.ess_alg_categories]
ess_alg_cat_axioms_from_gen_alg [lemma, in TypeTheory.Categories.ess_and_gen_alg_cats]
ess_alg_from_gen_alg.H [variable, in TypeTheory.Categories.ess_and_gen_alg_cats]
ess_alg_from_gen_alg.hs [variable, in TypeTheory.Categories.ess_and_gen_alg_cats]
ess_alg_from_gen_alg.C [variable, in TypeTheory.Categories.ess_and_gen_alg_cats]
ess_alg_from_gen_alg [section, in TypeTheory.Categories.ess_and_gen_alg_cats]
ess_and_gen_alg_cats [library]
ess_alg_categories [library]
es_Fop_precomp [definition, in TypeTheory.ALV1.Transport_along_Equivs]
etainv [definition, in TypeTheory.ALV1.Transport_along_Equivs]
Examples [library]
ext [definition, in TypeTheory.ALV1.Transport_along_Equivs]
ext [definition, in TypeTheory.ALV1.CwF_Defs_Equiv]
ext_typecat [definition, in TypeTheory.ALV1.TypeCat]
ext_struct [definition, in TypeTheory.ALV1.TypeCat_Reassoc]


F

faithful_pr1_category [lemma, in TypeTheory.Displayed_Cats.Core]
FAM [definition, in TypeTheory.Categories.category_FAM]
FAM [section, in TypeTheory.Categories.category_FAM]
Tm [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
_ [ _ ] [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Families_Structures [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
FAM_is_univalent [lemma, in TypeTheory.Categories.category_FAM]
FAM_obj_weq_idpath [lemma, in TypeTheory.Categories.category_FAM]
FAM_obj_weq_5_id [lemma, in TypeTheory.Categories.category_FAM]
FAM_obj_weq_4_id [lemma, in TypeTheory.Categories.category_FAM]
FAM_id4 [definition, in TypeTheory.Categories.category_FAM]
FAM_obj_weq_3_id [lemma, in TypeTheory.Categories.category_FAM]
FAM_id3 [definition, in TypeTheory.Categories.category_FAM]
FAM_obj_weq_2_id [lemma, in TypeTheory.Categories.category_FAM]
FAM_id2 [definition, in TypeTheory.Categories.category_FAM]
FAM_obj_weq_1_id [lemma, in TypeTheory.Categories.category_FAM]
FAM_id1 [definition, in TypeTheory.Categories.category_FAM]
FAM_obj_weq [definition, in TypeTheory.Categories.category_FAM]
FAM_obj_weq_5 [lemma, in TypeTheory.Categories.category_FAM]
FAM_obj_weq_4 [lemma, in TypeTheory.Categories.category_FAM]
FAM_is_iso_weq [lemma, in TypeTheory.Categories.category_FAM]
FAM_is_iso_from_is_iso [lemma, in TypeTheory.Categories.category_FAM]
FAM_is_iso [definition, in TypeTheory.Categories.category_FAM]
FAM_obj_weq_3 [lemma, in TypeTheory.Categories.category_FAM]
FAM_obj_weq_2 [lemma, in TypeTheory.Categories.category_FAM]
FAM_obj_eq_type_2 [definition, in TypeTheory.Categories.category_FAM]
FAM_precategory_data [definition, in TypeTheory.Categories.category_FAM]
FAM_ob_mor [definition, in TypeTheory.Categories.category_FAM]
FAM_mor_equiv [definition, in TypeTheory.Categories.category_FAM]
FAM_mor_eq_type [definition, in TypeTheory.Categories.category_FAM]
FAM_obj_weq_1 [definition, in TypeTheory.Categories.category_FAM]
FAM_obj_UU_weq [definition, in TypeTheory.Categories.category_FAM]
FAM_obj_UU_eq_sigma [definition, in TypeTheory.Categories.category_FAM]
FAM_obj_UU_eq_inv [definition, in TypeTheory.Categories.category_FAM]
FAM_obj_eq_inv [definition, in TypeTheory.Categories.category_FAM]
FAM_obj_eq_type [definition, in TypeTheory.Categories.category_FAM]
FAM.C [variable, in TypeTheory.Categories.category_FAM]
FAM.isos [section, in TypeTheory.Categories.category_FAM]
_ ₂ [notation, in TypeTheory.Categories.category_FAM]
_ ₁ [notation, in TypeTheory.Categories.category_FAM]
FFinv_on_iso_is_iso [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
FFinv_transportf [lemma, in TypeTheory.Displayed_Cats.Equivalences_bis]
FFinv_on_iso_is_iso [definition, in TypeTheory.Displayed_Cats.Equivalences]
FFinv_transportf [lemma, in TypeTheory.Displayed_Cats.Equivalences]
ff_reflects_pullbacks [lemma, in TypeTheory.Auxiliary.Auxiliary]
ff_on_isos [definition, in TypeTheory.Auxiliary.Auxiliary]
ff_Fop_precomp [definition, in TypeTheory.ALV1.Transport_along_Equivs]
fi [definition, in TypeTheory.ALV1.Transport_along_Equivs]
Fiber [section, in TypeTheory.Displayed_Cats.Constructions]
fibers_inhab_if_pr1_issurjective [lemma, in TypeTheory.Auxiliary.Auxiliary]
fiber_functor_ess_split_surj [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
fiber_equiv [definition, in TypeTheory.Displayed_Cats.Equivalences]
fiber_is_left_adj [definition, in TypeTheory.Displayed_Cats.Equivalences]
fiber_functor_ess_split_surj [definition, in TypeTheory.Displayed_Cats.Equivalences]
fiber_functor_ff [lemma, in TypeTheory.Displayed_Cats.Constructions]
fiber_nat_trans [definition, in TypeTheory.Displayed_Cats.Constructions]
fiber_functor [definition, in TypeTheory.Displayed_Cats.Constructions]
fiber_functor_data [definition, in TypeTheory.Displayed_Cats.Constructions]
Fiber_Functors.fix_context [section, in TypeTheory.Displayed_Cats.Constructions]
Fiber_Functors [section, in TypeTheory.Displayed_Cats.Constructions]
fiber_category [definition, in TypeTheory.Displayed_Cats.Constructions]
fiber_precategory [definition, in TypeTheory.Displayed_Cats.Constructions]
fiber_is_precategory [lemma, in TypeTheory.Displayed_Cats.Constructions]
fiber_category_data [definition, in TypeTheory.Displayed_Cats.Constructions]
Fiber.H [variable, in TypeTheory.Displayed_Cats.Constructions]
Fiber.idto1 [variable, in TypeTheory.Displayed_Cats.Constructions]
Fiber.idto2 [variable, in TypeTheory.Displayed_Cats.Constructions]
fibration [definition, in TypeTheory.Displayed_Cats.Fibrations]
Fibrations [section, in TypeTheory.Displayed_Cats.Fibrations]
Fibrations [library]
fibration_from_discrete_fibration [definition, in TypeTheory.Displayed_Cats.Fibrations]
Fix_Category.C [variable, in TypeTheory.ALV1.RepMaps]
Fix_Category [section, in TypeTheory.ALV1.RepMaps]
fix_cat_obj_ext.Is_Univalent_qq_Strucs [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.Is_Univalent_Families_Strucs [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.Strucs_Equiv_Precats [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.Unique_Term_From_QQ.Rename_me [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.Unique_Term_From_QQ [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.Unique_QQ_From_Term [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.Compatible_Disp_Cat [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.qq_Structure_Precat [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.Term_Fun_Structure_Precat [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.X [variable, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.C [variable, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
Fix_Category.Standalone_to_Regrouped [section, in TypeTheory.ALV1.TypeCat_Reassoc]
Fix_Category.Structural_to_Regrouped [section, in TypeTheory.ALV1.TypeCat_Reassoc]
Fix_Category.Split_Type_Cat_as_Structural [section, in TypeTheory.ALV1.TypeCat_Reassoc]
Fix_Category [section, in TypeTheory.ALV1.TypeCat_Reassoc]
Fix_Context.Is_Univalent_Compat_Strucs [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Fix_Context.Is_Univalent_qq_Strucs [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Fix_Context.Is_Univalent_Families_Strucs [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Fix_Context.Is_Univalent_Obj_Ext_2 [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Fix_Context.Is_Univalent_Obj_Ext_1 [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Ty [notation, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
_ ◂ _ [notation, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Fix_Context [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Fix_Context.Compare_Equivs_of_Types [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Comparison]
Fix_Context.Equiv_of_Types_from_Cats [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Comparison]
Fix_Context [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Comparison]
fix_category.RC [variable, in TypeTheory.ALV1.RelUnivYonedaCompletion]
fix_category.C [variable, in TypeTheory.ALV1.RelUnivYonedaCompletion]
fix_category [section, in TypeTheory.ALV1.RelUnivYonedaCompletion]
Fix_Context.Strucs_Fiber_Equiv [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Fix_Context.Strucs_Disp_Equiv [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Fix_Context.Strucs_Equiv_Precats [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Fix_Context.Unique_Term_From_QQ.Rename_me [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Fix_Context.Unique_Term_From_QQ [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Fix_Context.Unique_QQ_From_Term [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Fix_Context.Compatible_Disp_Cat [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Ty [notation, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
_ ◂ _ [notation, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Fix_Context [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
fix_category [section, in TypeTheory.ALV1.Transport_along_Equivs]
Fix_Context.Equivalence [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Fix_Context.compatible_structures.canonical_TM.Y [variable, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Fix_Context.compatible_structures.canonical_TM.Z [variable, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Fix_Context.compatible_structures.canonical_TM [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Fix_Context.compatible_structures [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Tm [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
_ [ _ ] [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Ty [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
_ ◂ _ [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Fix_Context [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Fix_Base_Category.compatible_comp_structure_from_term.qq_from_term.Xk [variable, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_comp_structure_from_term.qq_from_term.A [variable, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_comp_structure_from_term.qq_from_term.f [variable, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_comp_structure_from_term.qq_from_term.Γ' [variable, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_comp_structure_from_term.qq_from_term.Γ [variable, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_comp_structure_from_term.qq_from_term [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_comp_structure_from_term.Y [variable, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_comp_structure_from_term [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_term_structure_from_qq.Tm_fun_axioms_from_qq.A [variable, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_term_structure_from_qq.Tm_fun_axioms_from_qq.Γ [variable, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_term_structure_from_qq.Tm_fun_axioms_from_qq [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_term_structure_from_qq.Z [variable, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_term_structure_from_qq [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.Compatible_Structures [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Tm [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
_ [ _ ] [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Ty [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
_ ◂ _ [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Category [section, in TypeTheory.ALV1.CwF_Defs_Equiv]
Fix_Category.Representation [section, in TypeTheory.ALV1.CwF_def]
Fix_Category [section, in TypeTheory.ALV1.CwF_def]
fmap_discrete_cat [definition, in TypeTheory.Displayed_Cats.Auxiliary]
foo [lemma, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
foo [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
foo [lemma, in TypeTheory.Displayed_Cats.Constructions]
foo [definition, in TypeTheory.Displayed_Cats.Fibrations]
foo [lemma, in TypeTheory.Categories.category_of_elements]
foobar [definition, in TypeTheory.Categories.category_of_elements]
foo2 [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Fop_precomp [definition, in TypeTheory.ALV1.Transport_along_Equivs]
forall_isotid [lemma, in TypeTheory.Auxiliary.Auxiliary]
forget_compat_qq [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
forget_compat_term [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
forms_equivalence_disc_fib [lemma, in TypeTheory.Displayed_Cats.Fibrations]
forms_cone [definition, in TypeTheory.Displayed_Cats.Limits]
form_adjunction_ff_split [lemma, in TypeTheory.Auxiliary.Auxiliary]
form_adjunction_inv [lemma, in TypeTheory.Auxiliary.Auxiliary]
form_adjunction_comp [lemma, in TypeTheory.Auxiliary.Auxiliary]
form_equiv_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
form_disp_adjunction [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
form_equiv_inv_adjunction_data [lemma, in TypeTheory.Displayed_Cats.Equivalences]
form_equiv_GGεη [lemma, in TypeTheory.Displayed_Cats.Equivalences]
form_equiv_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
form_disp_adjunction_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
form_equiv [definition, in TypeTheory.Displayed_Cats.Equivalences]
fp [definition, in TypeTheory.ALV1.RelativeUniverses]
fpb_obj [definition, in TypeTheory.ALV1.RelativeUniverses]
fpullback [definition, in TypeTheory.ALV1.RelativeUniverses]
fpullback_induced_with_ess_surj [definition, in TypeTheory.ALV1.RelativeUniverses]
fpullback_data_from_fpullback [definition, in TypeTheory.ALV1.RelativeUniverses]
fpullback_prop [definition, in TypeTheory.ALV1.RelativeUniverses]
fpullback_data [definition, in TypeTheory.ALV1.RelativeUniverses]
fq [definition, in TypeTheory.ALV1.RelativeUniverses]
from_cwf_to_rep_map [definition, in TypeTheory.ALV1.RepMaps]
from_cwf_to_rep [definition, in TypeTheory.Articles.ALV_2017]
fully_faithful_impl_ff_on_isos [lemma, in TypeTheory.Auxiliary.Auxiliary]
fully_faithful_pr1_category [definition, in TypeTheory.Displayed_Cats.Core]
full_from_ff [lemma, in TypeTheory.Auxiliary.Auxiliary]
full_from_split_full [lemma, in TypeTheory.Auxiliary.Auxiliary]
full_subcat.P [variable, in TypeTheory.Displayed_Cats.Constructions]
full_subcat.C [variable, in TypeTheory.Displayed_Cats.Constructions]
full_subcat [section, in TypeTheory.Displayed_Cats.Constructions]
full_pr1_category [lemma, in TypeTheory.Displayed_Cats.Core]
Functor [section, in TypeTheory.Displayed_Cats.Constructions]
functor_precomp_iso [definition, in TypeTheory.Auxiliary.Auxiliary]
functor_comp_id_iso [definition, in TypeTheory.Auxiliary.Auxiliary]
functor_assoc_iso [definition, in TypeTheory.Auxiliary.Auxiliary]
functor_univalent_category [definition, in TypeTheory.Auxiliary.Auxiliary]
functor_on_mor_total [definition, in TypeTheory.Auxiliary.Auxiliary]
functor_is_iso_is_iso [lemma, in TypeTheory.Auxiliary.Auxiliary]
functor_of_right_adjoint_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
functor_of_right_adjoint_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
functor_preShvs_to_Disc_Fibs [definition, in TypeTheory.Displayed_Cats.Fibrations]
functor_data_preShv_Disc_fibs [definition, in TypeTheory.Displayed_Cats.Fibrations]
functor_Disc_Fibs_to_preShvs [definition, in TypeTheory.Displayed_Cats.Fibrations]
π [notation, in TypeTheory.Displayed_Cats.Examples]
functor_alg_comp [definition, in TypeTheory.Displayed_Cats.Examples]
functor_alg_id [definition, in TypeTheory.Displayed_Cats.Examples]
functor_alg_mor [definition, in TypeTheory.Displayed_Cats.Examples]
functor_alg_ob [definition, in TypeTheory.Displayed_Cats.Examples]
functor_algebras [section, in TypeTheory.Displayed_Cats.Examples]
functor_lifting [definition, in TypeTheory.Displayed_Cats.Core]
# _ (mor_disp_scope) [notation, in TypeTheory.Displayed_Cats.Core]
Functor_Lifting [section, in TypeTheory.Displayed_Cats.Core]
Functor.C [variable, in TypeTheory.Displayed_Cats.Constructions]
Functor.C' [variable, in TypeTheory.Displayed_Cats.Constructions]
Functor.D [variable, in TypeTheory.Displayed_Cats.Constructions]
Functor.D' [variable, in TypeTheory.Displayed_Cats.Constructions]
Functor.FunctorsC'C [variable, in TypeTheory.Displayed_Cats.Constructions]
functtransportf_2 [definition, in TypeTheory.Displayed_Cats.Auxiliary]
funextsec_idpath [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
funextsec_idpath [lemma, in TypeTheory.Categories.category_FAM]


G

gen_alg_from_ess_alg.C [variable, in TypeTheory.Categories.ess_and_gen_alg_cats]
gen_alg_from_ess_alg [section, in TypeTheory.Categories.ess_and_gen_alg_cats]
gen_q_mor_struct [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
gen_q_mor_axs [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
gen_q_mor_data [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
gen_elem [definition, in TypeTheory.OtherDefs.CwF_Pitts]
gen_elem [definition, in TypeTheory.OtherDefs.CwF_1]
GG [definition, in TypeTheory.Displayed_Cats.Equivalences]
GG_ax [lemma, in TypeTheory.Displayed_Cats.Equivalences]
GG_data [definition, in TypeTheory.Displayed_Cats.Equivalences]
GGεη [definition, in TypeTheory.Displayed_Cats.Equivalences]
given_TM_to_canonical_te [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
given_TM_to_canonical [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
given_TM_to_canonical_naturality [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
given_to_canonical_to_given [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
given_TM_to_canonical_data [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
graph [definition, in TypeTheory.Categories.ess_alg_categories]
graph_w_comp_from_ess_alg_cat [definition, in TypeTheory.Categories.ess_alg_categories]
graph_from_graph_w_comp [definition, in TypeTheory.Categories.ess_alg_categories]
graph_w_comp [definition, in TypeTheory.Categories.ess_alg_categories]
graph_w_comp_from_gen_alg [definition, in TypeTheory.Categories.ess_and_gen_alg_cats]
graph_from_gen_alg_comp [definition, in TypeTheory.Categories.ess_and_gen_alg_cats]
graph_from_gen_alg [definition, in TypeTheory.Categories.ess_and_gen_alg_cats]
group [module, in TypeTheory.Displayed_Cats.Examples]
Groupoids [section, in TypeTheory.Displayed_Cats.Auxiliary]
group.disp_grp [definition, in TypeTheory.Displayed_Cats.Examples]
group.e [definition, in TypeTheory.Displayed_Cats.Examples]
group.grp_hom_e [definition, in TypeTheory.Displayed_Cats.Examples]
group.grp_hom_mult [definition, in TypeTheory.Displayed_Cats.Examples]
group.grp_axioms [definition, in TypeTheory.Displayed_Cats.Examples]
group.grp_data [definition, in TypeTheory.Displayed_Cats.Examples]
group.grp_structure [definition, in TypeTheory.Displayed_Cats.Examples]
group.grp_inv_l [definition, in TypeTheory.Displayed_Cats.Examples]
group.grp_inv_r [definition, in TypeTheory.Displayed_Cats.Examples]
group.grp_e_l [definition, in TypeTheory.Displayed_Cats.Examples]
group.grp_e_r [definition, in TypeTheory.Displayed_Cats.Examples]
group.grp_assoc [definition, in TypeTheory.Displayed_Cats.Examples]
group.grp_structure_axioms [definition, in TypeTheory.Displayed_Cats.Examples]
group.grp_structure_data [definition, in TypeTheory.Displayed_Cats.Examples]
group.inv [definition, in TypeTheory.Displayed_Cats.Examples]
group.isaprop_is_grp_hom [definition, in TypeTheory.Displayed_Cats.Examples]
group.is_grp_hom [definition, in TypeTheory.Displayed_Cats.Examples]
group.mult [definition, in TypeTheory.Displayed_Cats.Examples]
G_ff_split [definition, in TypeTheory.Auxiliary.Auxiliary]
G_ff_split_ax [definition, in TypeTheory.Auxiliary.Auxiliary]
G_ff_split_data [definition, in TypeTheory.Auxiliary.Auxiliary]


H

has_homsets_compat_structures_precategory [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
has_homsets_qq_structure_precategory [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
has_homsets_term_fun_precategory [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
has_homsets_term_fun_precat [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
has_homsets_FAM [lemma, in TypeTheory.Categories.category_FAM]
has_homsets_fiber_category [lemma, in TypeTheory.Displayed_Cats.Constructions]
has_homsets_precat_of_discrete_fibs [lemma, in TypeTheory.Displayed_Cats.Fibrations]
has_homsets_preShv [definition, in TypeTheory.ALV1.Transport_along_Equivs]
has_homsets_cwf [definition, in TypeTheory.OtherDefs.CwF_Pitts]
has_homsets_preShv [lemma, in TypeTheory.ALV1.CwF_def]
has_homsets_cwf [definition, in TypeTheory.OtherDefs.CwF_1]
hom [definition, in TypeTheory.Categories.ess_and_gen_alg_cats]
homsets_disp [definition, in TypeTheory.Displayed_Cats.Core]
hom_eq [lemma, in TypeTheory.Categories.ess_and_gen_alg_cats]
HSET_univalent_category [definition, in TypeTheory.Auxiliary.Auxiliary]


I

id [definition, in TypeTheory.Categories.ess_alg_categories]
identity [definition, in TypeTheory.Categories.ess_and_gen_alg_cats]
identity_iso_disp [definition, in TypeTheory.Displayed_Cats.Core]
idtoiso_dpr_typecat [lemma, in TypeTheory.ALV1.TypeCat]
idtoiso_postcompose_idtoiso_pre [lemma, in TypeTheory.Auxiliary.Auxiliary]
idtoiso_eq_idpath [lemma, in TypeTheory.Auxiliary.Auxiliary]
idtoiso_concat_pr [lemma, in TypeTheory.Auxiliary.Auxiliary]
idtoiso_transportf_family_of_morphisms [lemma, in TypeTheory.Auxiliary.Auxiliary]
idtoiso_iso_to_TM_eq [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
idtoiso_q_typecat [lemma, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
idtoiso_iso_disp_to_TM_eq [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
idtoiso_isotoid_disp [definition, in TypeTheory.Displayed_Cats.Core]
idtoiso_fiber_disp [lemma, in TypeTheory.Displayed_Cats.Core]
idtoiso_disp [lemma, in TypeTheory.Displayed_Cats.Core]
idtomor_right [lemma, in TypeTheory.Categories.ess_and_gen_alg_cats]
idtomor_left [lemma, in TypeTheory.Categories.ess_and_gen_alg_cats]
id_comp_r [definition, in TypeTheory.Categories.ess_alg_categories]
id_comp_l [definition, in TypeTheory.Categories.ess_alg_categories]
id_target [definition, in TypeTheory.Categories.ess_alg_categories]
id_source [definition, in TypeTheory.Categories.ess_alg_categories]
id_comp_right [lemma, in TypeTheory.Categories.ess_alg_categories]
id_comp_left [lemma, in TypeTheory.Categories.ess_alg_categories]
id_comp_r_ax [definition, in TypeTheory.Categories.ess_alg_categories]
id_comp_l_ax [definition, in TypeTheory.Categories.ess_alg_categories]
id_target_ax [definition, in TypeTheory.Categories.ess_alg_categories]
id_source_ax [definition, in TypeTheory.Categories.ess_alg_categories]
id_op [definition, in TypeTheory.Categories.ess_alg_categories]
id_op1 [definition, in TypeTheory.Categories.ess_and_gen_alg_cats]
id_is_iso_disp [definition, in TypeTheory.Displayed_Cats.Core]
id_right_disp_var [definition, in TypeTheory.Displayed_Cats.Core]
id_right_disp [definition, in TypeTheory.Displayed_Cats.Core]
id_left_disp_var [lemma, in TypeTheory.Displayed_Cats.Core]
id_left_disp [definition, in TypeTheory.Displayed_Cats.Core]
id_disp [definition, in TypeTheory.Displayed_Cats.Core]
index_func [definition, in TypeTheory.Categories.category_FAM]
index_type [definition, in TypeTheory.Categories.category_FAM]
inv [definition, in TypeTheory.Displayed_Cats.Equivalences]
invmap_eq [lemma, in TypeTheory.Auxiliary.Auxiliary]
inv_from_iso_iso_from_fully_faithful_reflection [lemma, in TypeTheory.Auxiliary.Auxiliary]
inv_from_iso_from_is_z_iso [lemma, in TypeTheory.Auxiliary.Auxiliary]
inv_triangle_2_statement_over_id [lemma, in TypeTheory.Displayed_Cats.Equivalences]
inv_triangle_1_statement_over_id [lemma, in TypeTheory.Displayed_Cats.Equivalences]
inv_adjunction_data [definition, in TypeTheory.Displayed_Cats.Equivalences]
inv_ax [lemma, in TypeTheory.Displayed_Cats.Equivalences]
inv_from_FAM_is_iso [definition, in TypeTheory.Categories.category_FAM]
inv_disp_from_pointwise_iso [definition, in TypeTheory.Displayed_Cats.Constructions]
inv_mor_total_iso [lemma, in TypeTheory.Displayed_Cats.Core]
inv_iso_base_from_total [definition, in TypeTheory.Displayed_Cats.Core]
inv_mor_after_iso_disp [definition, in TypeTheory.Displayed_Cats.Core]
inv_mor_disp_from_iso [definition, in TypeTheory.Displayed_Cats.Core]
inv1 [lemma, in TypeTheory.Auxiliary.Auxiliary]
inv2 [lemma, in TypeTheory.Auxiliary.Auxiliary]
isaprop_is_split_typecat [lemma, in TypeTheory.ALV1.TypeCat]
isaprop_ess_alg_cat_axioms [lemma, in TypeTheory.Categories.ess_alg_categories]
isaprop_is_representable [lemma, in TypeTheory.ALV1.RepMaps]
isaprop_Pullback [definition, in TypeTheory.Auxiliary.Auxiliary]
isaprop_fiber_if_isinclpr1 [lemma, in TypeTheory.Auxiliary.Auxiliary]
isaprop_iso_qq_morphism_structure [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
isaprop_qq_structure_mor [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
isaprop_term_fun_mor [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
isaprop_iso_disp_strucs_compat_disp_cat [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
isaprop_iso_disp_qq_morphism_structure [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
isaprop_whatever [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
isaprop_FAM_is_iso [lemma, in TypeTheory.Categories.category_FAM]
isaprop_qq_morphism_axioms [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
isaprop_term_fun_structure_axioms [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
isaprop_disc_fib_hom [lemma, in TypeTheory.Displayed_Cats.Fibrations]
isaprop_cartesian_lifts [definition, in TypeTheory.Displayed_Cats.Fibrations]
isaprop_functor_alg_mor [definition, in TypeTheory.Displayed_Cats.Examples]
isaprop_continuous [lemma, in TypeTheory.Displayed_Cats.Examples]
isaprop_is_cartesian [lemma, in TypeTheory.Displayed_Cats.ComprehensionC]
isaprop_rel_universe_structure [lemma, in TypeTheory.ALV1.RelativeUniverses]
isaprop_fpullback [lemma, in TypeTheory.ALV1.RelativeUniverses]
isaprop_fpullback_prop [lemma, in TypeTheory.ALV1.RelativeUniverses]
isaprop_iscompatible_term_qq [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
isaprop_cwf_representation [lemma, in TypeTheory.ALV1.CwF_def]
isaprop_cwf_fiber_representation [lemma, in TypeTheory.ALV1.CwF_def]
isaprop_cwf_fiber_representation' [lemma, in TypeTheory.ALV1.CwF_def]
isaprop_qq_structure_mor [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
isaprop_term_fun_mor [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
isaprop_disp_nat_trans_axioms [lemma, in TypeTheory.Displayed_Cats.Core]
isaprop_disp_functor_axioms [lemma, in TypeTheory.Displayed_Cats.Core]
isaprop_is_iso_disp [lemma, in TypeTheory.Displayed_Cats.Core]
isaprop_disp_cat_axioms [lemma, in TypeTheory.Displayed_Cats.Core]
isaset_types_typecat [definition, in TypeTheory.ALV1.TypeCat]
isaset_mor [definition, in TypeTheory.Categories.ess_alg_categories]
isaset_objects [definition, in TypeTheory.Categories.ess_alg_categories]
isaset_qq_morphism_structure [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
isaset_qq_morphism_structure [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
isaset_disp_nat_trans [lemma, in TypeTheory.Displayed_Cats.Constructions]
isaset_fiber_discrete_fibration [definition, in TypeTheory.Displayed_Cats.Fibrations]
isaset_functor_alg_ob [lemma, in TypeTheory.Displayed_Cats.Examples]
isaset_tm_from_qq [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
isaset_iso_disp [lemma, in TypeTheory.Displayed_Cats.Core]
iscompatible_qq_from_term [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
iscompatible_term_from_qq [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
iscompatible_iscompatible' [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
iscompatible_term_qq [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
iscompatible'_qq_from_term [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
iscompatible'_term_qq [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
iscontr_compatible_split_comp_structure [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
iscontr_compatible_term_structure [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
isMonadAlg [definition, in TypeTheory.Displayed_Cats.Examples]
Isofibrations [section, in TypeTheory.Displayed_Cats.Fibrations]
isofibration_from_disp_over_univalent [section, in TypeTheory.Displayed_Cats.Fibrations]
isopair [definition, in TypeTheory.Categories.category_FAM]
Isos [section, in TypeTheory.Displayed_Cats.Core]
isotoid_opp [definition, in TypeTheory.OtherDefs.CwF_Pitts_completion]
isotoid_idtoiso_disp [definition, in TypeTheory.Displayed_Cats.Core]
isotoid_disp [definition, in TypeTheory.Displayed_Cats.Core]
iso_to_second_pb [definition, in TypeTheory.Auxiliary.Auxiliary]
iso_from_iso_with_postcomp [lemma, in TypeTheory.Auxiliary.Auxiliary]
iso_ob [definition, in TypeTheory.Auxiliary.Auxiliary]
iso_to_dpr [definition, in TypeTheory.OtherDefs.TypeCat_to_DM]
iso_to_id_term_fun_precategory [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
iso_to_TM_eq [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
iso_to_id__term_fun_disp_cat [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
iso_disp_to_TM_eq [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
iso_to_obj_ext_eq [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
iso_disp_iso_fiber [lemma, in TypeTheory.Displayed_Cats.Constructions]
iso_fiber_from_iso_disp [definition, in TypeTheory.Displayed_Cats.Constructions]
iso_disp_from_iso_fiber [definition, in TypeTheory.Displayed_Cats.Constructions]
iso_cleaving_category [definition, in TypeTheory.Displayed_Cats.Fibrations]
iso_fibration [definition, in TypeTheory.Displayed_Cats.Fibrations]
iso_cleaving [definition, in TypeTheory.Displayed_Cats.Fibrations]
iso_cleaving_functor_alg [definition, in TypeTheory.Displayed_Cats.Examples]
iso_in_HSET [lemma, in TypeTheory.Categories.category_of_elements]
iso_disp_from_total [definition, in TypeTheory.Displayed_Cats.Core]
iso_base_from_total [definition, in TypeTheory.Displayed_Cats.Core]
iso_disp_postcomp [lemma, in TypeTheory.Displayed_Cats.Core]
iso_disp_precomp [lemma, in TypeTheory.Displayed_Cats.Core]
iso_disp_comp [definition, in TypeTheory.Displayed_Cats.Core]
iso_inv_from_iso_disp [definition, in TypeTheory.Displayed_Cats.Core]
iso_disp_after_inv_mor [definition, in TypeTheory.Displayed_Cats.Core]
iso_disp_pair [definition, in TypeTheory.Displayed_Cats.Core]
iso_disp [definition, in TypeTheory.Displayed_Cats.Core]
iso_to_dpr [definition, in TypeTheory.OtherDefs.CwF_Pitts_to_DM]
isPb_morphism_equal [lemma, in TypeTheory.Auxiliary.Auxiliary]
isPredicate_cwf_laws [lemma, in TypeTheory.OtherDefs.CwF_Pitts]
isPredicate_cwf_laws [lemma, in TypeTheory.OtherDefs.CwF_1]
isPullback_preShv_to_pointwise [lemma, in TypeTheory.Auxiliary.Auxiliary]
isPullback_HSET [lemma, in TypeTheory.Auxiliary.Auxiliary]
isPullback_indepdent_of_path [lemma, in TypeTheory.Auxiliary.Auxiliary]
isPullback_transfer_iso [lemma, in TypeTheory.Auxiliary.Auxiliary]
isPullback_Q_pp [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
isPullback_of_DM [definition, in TypeTheory.OtherDefs.DM]
isPullback_of_dm_sub_pb [definition, in TypeTheory.OtherDefs.DM]
isPullback_q_gen_mor [lemma, in TypeTheory.Instances.Presheaves]
isPullback_cartesian_in_cod_disp [definition, in TypeTheory.Displayed_Cats.Codomain]
isPullback_qq [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
isPullback_Yo_of_qq [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
isPullback_Q_pp_from_qq [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
issplit_type_precat_of_precwf [definition, in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat]
issurjective_bandfmap [lemma, in TypeTheory.Auxiliary.Auxiliary]
issurjective_hinhpr [lemma, in TypeTheory.Auxiliary.Auxiliary]
isweqbandfmap_var [definition, in TypeTheory.Auxiliary.Auxiliary]
isweqpathscomp0l [definition, in TypeTheory.Auxiliary.Auxiliary]
isweqpathscomp0l [lemma, in TypeTheory.Categories.category_FAM]
isweq_equivalence_on_mor_total [definition, in TypeTheory.Auxiliary.Auxiliary]
isweq_left_adj_equivalence_on_mor_total [definition, in TypeTheory.Auxiliary.Auxiliary]
isweq_from_is_iso [definition, in TypeTheory.Categories.category_FAM]
isweq_from_cwf_to_rep [definition, in TypeTheory.Articles.ALV_2017]
isweq_weak_relative_universe_transfer [definition, in TypeTheory.ALV1.RelativeUniverses]
isweq_is_universe_transfer [definition, in TypeTheory.ALV1.RelativeUniverses]
is_split_from_split_typecat [definition, in TypeTheory.ALV1.TypeCat]
is_split_typecat [definition, in TypeTheory.ALV1.TypeCat]
is_type_saturated_typecat [definition, in TypeTheory.ALV1.TypeCat]
is_univalent_opp [definition, in TypeTheory.OtherDefs.CwF_Pitts_completion]
is_representable [definition, in TypeTheory.ALV1.RepMaps]
is_symmetric'_isPullback [lemma, in TypeTheory.Auxiliary.Auxiliary]
is_nat_trans_η_ff_split [lemma, in TypeTheory.Auxiliary.Auxiliary]
is_nat_trans_ε_ff_split [definition, in TypeTheory.Auxiliary.Auxiliary]
is_left_adjoint_inv [definition, in TypeTheory.Auxiliary.Auxiliary]
is_iso_comp_is_iso [lemma, in TypeTheory.Auxiliary.Auxiliary]
is_univalent_qq_morphism [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
is_univalent_term_fun_structure [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
is_precategory_precategory_data_from_ess_alg_cat [lemma, in TypeTheory.Categories.ess_and_gen_alg_cats]
is_split [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
is_equiv_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
is_iso_counit_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
is_iso_unit_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
is_equiv_from_ff_ess_over_id [lemma, in TypeTheory.Displayed_Cats.Equivalences]
is_equiv_of_equiv_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
is_equiv_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
is_iso_counit_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
is_iso_unit_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
is_univalent_strucs_compat [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
is_univalent_qq_morphism [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
is_univalent_term_fun_structure [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
is_univalent_obj_ext [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
is_saturated_preShv [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
is_iso_from_FAM_is_iso [lemma, in TypeTheory.Categories.category_FAM]
is_precategory_FAM [lemma, in TypeTheory.Categories.category_FAM]
is_iso_fiber_from_is_iso_disp [definition, in TypeTheory.Displayed_Cats.Constructions]
is_functor_fiber_functor [lemma, in TypeTheory.Displayed_Cats.Constructions]
is_univalent_disp_iff_fibers_are_univalent [definition, in TypeTheory.Displayed_Cats.Constructions]
is_univalent_disp_from_is_univalent_fiber [lemma, in TypeTheory.Displayed_Cats.Constructions]
is_univalent_fiber [lemma, in TypeTheory.Displayed_Cats.Constructions]
is_univalent_fiber_cat [lemma, in TypeTheory.Displayed_Cats.Constructions]
is_disp_functor_cat_iso_iff_pointwise_iso [definition, in TypeTheory.Displayed_Cats.Constructions]
is_disp_functor_cat_iso_if_pointwise_iso [definition, in TypeTheory.Displayed_Cats.Constructions]
is_disp_nat_trans_pointwise_inv [lemma, in TypeTheory.Displayed_Cats.Constructions]
is_pointwise_iso_if_is_disp_functor_cat_iso [definition, in TypeTheory.Displayed_Cats.Constructions]
is_iso_sigma_disp [lemma, in TypeTheory.Displayed_Cats.Constructions]
is_iso_sigma_disp_aux2 [lemma, in TypeTheory.Displayed_Cats.Constructions]
is_iso_sigma_disp_aux1 [definition, in TypeTheory.Displayed_Cats.Constructions]
is_fibration_DM_disp [lemma, in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
is_left_adjoint_subst_functor [lemma, in TypeTheory.Instances.Presheaves]
is_split_fibration_from_discrete_fibration [lemma, in TypeTheory.Displayed_Cats.Fibrations]
is_split [definition, in TypeTheory.Displayed_Cats.Fibrations]
is_split_comp [definition, in TypeTheory.Displayed_Cats.Fibrations]
is_split_id [definition, in TypeTheory.Displayed_Cats.Fibrations]
is_functor_functor_data_preShv_Disc_fibs [definition, in TypeTheory.Displayed_Cats.Fibrations]
is_discrete_fibration [definition, in TypeTheory.Displayed_Cats.Fibrations]
is_isofibration_from_is_fibration [lemma, in TypeTheory.Displayed_Cats.Fibrations]
is_iso_from_is_cartesian [lemma, in TypeTheory.Displayed_Cats.Fibrations]
is_cleaving [definition, in TypeTheory.Displayed_Cats.Fibrations]
is_cartesian [definition, in TypeTheory.Displayed_Cats.Fibrations]
is_isofibration_iff_is_op_isofibration [lemma, in TypeTheory.Displayed_Cats.Fibrations]
is_op_isofibration [definition, in TypeTheory.Displayed_Cats.Fibrations]
is_uncloven_iso_cleaving [definition, in TypeTheory.Displayed_Cats.Fibrations]
is_univalent_preShv [lemma, in TypeTheory.ALV1.RelUnivYonedaCompletion]
is_univalent_disp_functor_alg [lemma, in TypeTheory.Displayed_Cats.Examples]
is_lim_comp [lemma, in TypeTheory.Displayed_Cats.Examples]
is_univalent_preShv [lemma, in TypeTheory.ALV1.Transport_along_Equivs]
is_cartesian_comprehension_of_dm_structure [lemma, in TypeTheory.Displayed_Cats.ComprehensionC]
is_cartesian_from_iso_to_cartesian [lemma, in TypeTheory.Displayed_Cats.ComprehensionC]
is_cartesian_disp_functor [definition, in TypeTheory.Displayed_Cats.ComprehensionC]
is_type_saturated_type_cat_from_DM [lemma, in TypeTheory.OtherDefs.DM_to_TypeCat]
is_pullback_reindx_cwf [lemma, in TypeTheory.OtherDefs.CwF_Pitts]
is_universe_transfer [lemma, in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.fix_a_morphism.map_on_is_universe_relativ_to.is [variable, in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.fix_a_morphism.map_on_is_universe_relativ_to [section, in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.fix_a_morphism.pp [variable, in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.fix_a_morphism.tU [variable, in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.fix_a_morphism.U [variable, in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.fix_a_morphism [section, in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.α_α' [variable, in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.α'_α [variable, in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.α' [variable, in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.αiso [variable, in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer [section, in TypeTheory.ALV1.RelativeUniverses]
is_universe_relative_to [definition, in TypeTheory.ALV1.RelativeUniverses]
is_nat_trans_canonical_TM_to_given [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
is_split_qq_from_term [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
is_nat_trans_pp_from_qq [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
is_functor_tm_from_qq [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
is_groupoid_path_groupoid [lemma, in TypeTheory.Displayed_Cats.Auxiliary]
is_groupoid_functor_cat [lemma, in TypeTheory.Displayed_Cats.Auxiliary]
is_groupoid [definition, in TypeTheory.Displayed_Cats.Auxiliary]
is_univalent_disp_from_SIP_data [lemma, in TypeTheory.Displayed_Cats.SIP]
is_univalent_Elem [definition, in TypeTheory.Categories.category_of_elements]
is_functor_proj [lemma, in TypeTheory.Categories.category_of_elements]
is_precategory_precategory_of_elements [lemma, in TypeTheory.Categories.category_of_elements]
is_univalent_total_category [lemma, in TypeTheory.Displayed_Cats.Core]
is_iso_disp_from_total [definition, in TypeTheory.Displayed_Cats.Core]
is_iso_base_from_total [definition, in TypeTheory.Displayed_Cats.Core]
is_iso_total [definition, in TypeTheory.Displayed_Cats.Core]
is_univalent_in_fibers_from_univalent_disp [definition, in TypeTheory.Displayed_Cats.Core]
is_univalent_disp_from_fibers [lemma, in TypeTheory.Displayed_Cats.Core]
is_univalent_in_fibers [definition, in TypeTheory.Displayed_Cats.Core]
is_univalent_disp [definition, in TypeTheory.Displayed_Cats.Core]
is_iso_disp_independent_of_is_iso [lemma, in TypeTheory.Displayed_Cats.Core]
is_iso_inv_from_is_iso_disp [definition, in TypeTheory.Displayed_Cats.Core]
is_iso_inv_from_iso_disp [definition, in TypeTheory.Displayed_Cats.Core]
is_iso_disp_transportf [lemma, in TypeTheory.Displayed_Cats.Core]
is_iso_disp_from_iso [definition, in TypeTheory.Displayed_Cats.Core]
is_iso_disp [definition, in TypeTheory.Displayed_Cats.Core]
is_pullback_reindx_cwf [lemma, in TypeTheory.OtherDefs.CwF_1]


L

left_adj_from_adj_equiv [definition, in TypeTheory.Auxiliary.Auxiliary]
left_adj_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
left_adjequiv [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
left_adj_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
left_adj_over [definition, in TypeTheory.Displayed_Cats.Equivalences]
lemmas [section, in TypeTheory.ALV1.TypeCat]
lemmas [section, in TypeTheory.OtherDefs.DM]
lemmas.C [variable, in TypeTheory.ALV1.TypeCat]
lemmas.CC [variable, in TypeTheory.ALV1.TypeCat]
lemmas.hs [variable, in TypeTheory.ALV1.TypeCat]
lifted_functor [definition, in TypeTheory.Displayed_Cats.Core]
lifted_functor_axioms [definition, in TypeTheory.Displayed_Cats.Core]
lifted_functor_data [definition, in TypeTheory.Displayed_Cats.Core]
Limits [library]
l_to_r_reassoc_direct [definition, in TypeTheory.ALV1.TypeCat_Reassoc]


M

maponpaths_eq_idpath [lemma, in TypeTheory.Auxiliary.Auxiliary]
maponpaths_apply [lemma, in TypeTheory.Auxiliary.Auxiliary]
maponpaths_2 [definition, in TypeTheory.Auxiliary.Auxiliary]
maps_equal [lemma, in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat_to_DM]
map_to_1st_pb [definition, in TypeTheory.Auxiliary.Auxiliary]
map_to_2nd_pb [definition, in TypeTheory.Auxiliary.Auxiliary]
map_into_Pb_unique [lemma, in TypeTheory.Auxiliary.Auxiliary]
map_into_Pb [definition, in TypeTheory.Auxiliary.Auxiliary]
map_to_comp_as_pair_precwf [lemma, in TypeTheory.OtherDefs.CwF_Pitts]
map_from_term_recover [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
map_into [definition, in TypeTheory.ALV1.CwF_def]
map_to_comp_as_pair_precwf [lemma, in TypeTheory.OtherDefs.CwF_1]
mere_fpullback_transfer [lemma, in TypeTheory.ALV1.RelativeUniverses]
Miscellaneous [section, in TypeTheory.Displayed_Cats.Auxiliary]
mkTermIn [definition, in TypeTheory.Instances.Presheaves]
monad_algebras.FAlg [variable, in TypeTheory.Displayed_Cats.Examples]
monad_algebras.T' [variable, in TypeTheory.Displayed_Cats.Examples]
monad_algebras [section, in TypeTheory.Displayed_Cats.Examples]
mor [definition, in TypeTheory.Categories.ess_alg_categories]
mor [definition, in TypeTheory.Categories.category_FAM]
morphism_from_total [definition, in TypeTheory.Auxiliary.Auxiliary]
morphism_as_total [definition, in TypeTheory.Auxiliary.Auxiliary]
Morphism_of_presheaves_transfer_recover [lemma, in TypeTheory.ALV1.CwF_def]
mor_total [definition, in TypeTheory.Auxiliary.Auxiliary]
mor_disp_of_cartesian_lift [definition, in TypeTheory.Displayed_Cats.Fibrations]
mor_disp_from_iso [definition, in TypeTheory.Displayed_Cats.Core]
mor_disp_transportf_prewhisker [lemma, in TypeTheory.Displayed_Cats.Core]
mor_disp_transportf_postwhisker [lemma, in TypeTheory.Displayed_Cats.Core]
mor_disp [definition, in TypeTheory.Displayed_Cats.Core]


N

NAction [section, in TypeTheory.Displayed_Cats.Examples]
NAction_disp [definition, in TypeTheory.Displayed_Cats.Examples]
NAction_axioms [lemma, in TypeTheory.Displayed_Cats.Examples]
NAction_data [definition, in TypeTheory.Displayed_Cats.Examples]
NAction_id_comp [definition, in TypeTheory.Displayed_Cats.Examples]
NAction_disp_ob_mor [definition, in TypeTheory.Displayed_Cats.Examples]
nat_iso_from_pointwise_iso [definition, in TypeTheory.Auxiliary.Auxiliary]
Nat_Trans_Disp_Inv [section, in TypeTheory.Displayed_Cats.Equivalences]


O

obj [definition, in TypeTheory.Categories.category_FAM]
objects [definition, in TypeTheory.Categories.ess_alg_categories]
object_of_cartesian_lift [definition, in TypeTheory.Displayed_Cats.Fibrations]
obj_ext_struct [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
obj_ext_mor_φ_eq [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
obj_ext_mor_TY_eq [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
obj_ext_to_preShv_functor [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
obj_ext_to_preShv_functor_axioms [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
obj_ext_to_preShv_functor_data [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
obj_ext_iso_alt [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
obj_UU_from_obj [definition, in TypeTheory.Categories.category_FAM]
obj_UU [definition, in TypeTheory.Categories.category_FAM]
obj_ext_structure_of_split_typecat'_structure [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
obj_ext_structure_of_cwf'_structure [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Obj_Ext_Structures.Comp_Ext_Compare [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
_ ◂ _ [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Ty [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
obj_ext_structure [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Obj_Ext_Structures [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
obj_ext_Precat [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_has_homsets [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_precat [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_precat_axioms [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_precat_data [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_id_comp [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_ob_mor [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_mor_eq' [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_mor_eq [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_mor_ax [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_mor_φ [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
_ [ _ ] (TY_scope) [notation, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_mor_TY [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_mor [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
Obj_Ext_Precat [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obmor [definition, in TypeTheory.Categories.ess_and_gen_alg_cats]
ob_from_DM_over [definition, in TypeTheory.OtherDefs.DM]
ob_as_functor [definition, in TypeTheory.Displayed_Cats.Auxiliary]
ob_disp [definition, in TypeTheory.Displayed_Cats.Core]
on_pullbacks.Pb [variable, in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.sqr_comm [variable, in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.h [variable, in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.k [variable, in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.g [variable, in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.f [variable, in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.d [variable, in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.c [variable, in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.b [variable, in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.a [variable, in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.hs [variable, in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.C [variable, in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks [section, in TypeTheory.Auxiliary.Auxiliary]
Opfibrations [section, in TypeTheory.Displayed_Cats.Fibrations]
opp_univalent_cat [definition, in TypeTheory.OtherDefs.CwF_Pitts_completion]
opp_iso_inv_opp_iso [lemma, in TypeTheory.OtherDefs.CwF_Pitts_completion]
opp_iso_opp_iso_inv [lemma, in TypeTheory.OtherDefs.CwF_Pitts_completion]
opp_iso_inv [definition, in TypeTheory.OtherDefs.CwF_Pitts_completion]
over_terminal_category.C [variable, in TypeTheory.Displayed_Cats.Examples]
over_terminal_category [section, in TypeTheory.Displayed_Cats.Examples]


P

pairing [definition, in TypeTheory.OtherDefs.CwF_Pitts]
pairing [definition, in TypeTheory.OtherDefs.CwF_1]
pairing_transport [definition, in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat]
pairing_transport [definition, in TypeTheory.OtherDefs.CwF_Pitts]
pairing_mapeq_gen [lemma, in TypeTheory.OtherDefs.CwF_Pitts]
pairing_mapeq [lemma, in TypeTheory.OtherDefs.CwF_Pitts]
pairing_transport [definition, in TypeTheory.OtherDefs.CwF_1]
pairing_mapeq_gen [lemma, in TypeTheory.OtherDefs.CwF_1]
pairing_mapeq [lemma, in TypeTheory.OtherDefs.CwF_1]
pair_inj [lemma, in TypeTheory.Displayed_Cats.Fibrations]
pair_functor [definition, in TypeTheory.Displayed_Cats.Auxiliary]
pair_functor_data [definition, in TypeTheory.Displayed_Cats.Auxiliary]
pathscomp0_dep [lemma, in TypeTheory.Displayed_Cats.Auxiliary]
pathscomp0_disp [lemma, in TypeTheory.Displayed_Cats.Core]
Pbb [definition, in TypeTheory.Auxiliary.Auxiliary]
Pb_map_commutes_2 [definition, in TypeTheory.Auxiliary.Auxiliary]
Pb_map_commutes_1 [definition, in TypeTheory.Auxiliary.Auxiliary]
pb_of_DM_of_TypeCat [definition, in TypeTheory.OtherDefs.TypeCat_to_DM]
pb_arrow_of_arrow [definition, in TypeTheory.OtherDefs.DM]
pb_DM_over_of_DM_over [definition, in TypeTheory.OtherDefs.DM]
pb_DM_of_DM [definition, in TypeTheory.OtherDefs.DM]
pb_mor_of_mor [definition, in TypeTheory.OtherDefs.DM]
pb_mor_of_DM [definition, in TypeTheory.OtherDefs.DM]
pb_ob_of_DM [definition, in TypeTheory.OtherDefs.DM]
pb_of_dm_sub_pb [definition, in TypeTheory.OtherDefs.DM]
pb_of_DM_struct [definition, in TypeTheory.OtherDefs.DM]
pb_of_DM_of_CwF [definition, in TypeTheory.OtherDefs.CwF_Pitts_to_DM]
pointwise_inv_is_inv_on [definition, in TypeTheory.Displayed_Cats.Constructions]
pointwise_iso_from_nat_iso [definition, in TypeTheory.Displayed_Cats.Constructions]
postcomp_pb_with_iso [lemma, in TypeTheory.Auxiliary.Auxiliary]
postwhisker_isotoid [lemma, in TypeTheory.Auxiliary.Auxiliary]
postwhisker_iso_to_TM_eq [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
postwhisker_iso_disp_to_TM_eq [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
pp [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
pp [abbreviation, in TypeTheory.ALV1.RelativeUniverses]
pp_te [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
pp_given_TM_to_canonical [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
pp_canonical_TM_to_given [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
pp_te_from_qq [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
pp_from_qq [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
pp_from_qq_data [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
pp'_eta [definition, in TypeTheory.ALV1.CwF_def]
precategory_from_ess_alg_cat [definition, in TypeTheory.Categories.ess_and_gen_alg_cats]
precategory_data_from_ess_alg_cat [definition, in TypeTheory.Categories.ess_and_gen_alg_cats]
precategory_ob_mor_from_ess_alg_cat [definition, in TypeTheory.Categories.ess_and_gen_alg_cats]
precategory_of_split_typecat' [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
precategory_of_cwf' [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
precategory_of_elements [definition, in TypeTheory.Categories.category_of_elements]
precategory_of_elements_data [definition, in TypeTheory.Categories.category_of_elements]
precategory_of_elements_ob_mor [definition, in TypeTheory.Categories.category_of_elements]
Precat_of_discrete_fibs [definition, in TypeTheory.Displayed_Cats.Fibrations]
precat_of_discrete_fibs [definition, in TypeTheory.Displayed_Cats.Fibrations]
precat_axioms_of_discrete_fibs [definition, in TypeTheory.Displayed_Cats.Fibrations]
precat_of_discrete_fibs_data [definition, in TypeTheory.Displayed_Cats.Fibrations]
precat_of_discrete_fibs_ob_mor [definition, in TypeTheory.Displayed_Cats.Fibrations]
precat_of_elements [definition, in TypeTheory.Displayed_Cats.Examples]
precomp_with_iso_disp_is_inj [definition, in TypeTheory.Displayed_Cats.Core]
Prelims [section, in TypeTheory.ALV1.TypeCat]
Prelims [section, in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat]
preserves_pullbacks_ext [lemma, in TypeTheory.ALV1.Transport_along_Equivs]
presheaves [section, in TypeTheory.Instances.Presheaves]
Presheaves [library]
presheaves.p [variable, in TypeTheory.Instances.Presheaves]
presheaves.q [variable, in TypeTheory.Instances.Presheaves]
_ ⋆ _ [notation, in TypeTheory.Instances.Presheaves]
_ ⊢ _ [notation, in TypeTheory.Instances.Presheaves]
_ ⦃ _ ⦄ [notation, in TypeTheory.Instances.Presheaves]
_ ⊢ [notation, in TypeTheory.Instances.Presheaves]
1 [notation, in TypeTheory.Instances.Presheaves]
preShv [definition, in TypeTheory.Auxiliary.Auxiliary]
PreShv_reindx_laws [lemma, in TypeTheory.Instances.Presheaves]
PreShv_tt_reindx_type_struct [definition, in TypeTheory.Instances.Presheaves]
PreShv_reindx_structure [lemma, in TypeTheory.Instances.Presheaves]
PreShv_tt_structure [definition, in TypeTheory.Instances.Presheaves]
PreShv_TypeCat [definition, in TypeTheory.Instances.Presheaves]
preshv_from_disc_fib_ob [definition, in TypeTheory.Displayed_Cats.Fibrations]
preshv_ax_from_disc_fib_ob [definition, in TypeTheory.Displayed_Cats.Fibrations]
preshv_data_from_disc_fib_ob [definition, in TypeTheory.Displayed_Cats.Fibrations]
prewhisker_iso_to_TM_eq [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
prewhisker_iso_disp_to_TM_eq [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
pre_cwf_law_2' [definition, in TypeTheory.OtherDefs.CwF_Pitts]
pre_cwf_law_2' [definition, in TypeTheory.OtherDefs.CwF_1]
prod_discrete_cat [definition, in TypeTheory.Displayed_Cats.Auxiliary]
prod_functor [definition, in TypeTheory.Displayed_Cats.Auxiliary]
prod_functor_data [definition, in TypeTheory.Displayed_Cats.Auxiliary]
prod_category_assoc [definition, in TypeTheory.Displayed_Cats.Auxiliary]
prod_category_assoc_data [definition, in TypeTheory.Displayed_Cats.Auxiliary]
prod_category [definition, in TypeTheory.Displayed_Cats.Auxiliary]
prod_precategory_homsets [definition, in TypeTheory.Displayed_Cats.Auxiliary]
prod_precategory [definition, in TypeTheory.Displayed_Cats.Auxiliary]
prod_precategory_is_precategory [definition, in TypeTheory.Displayed_Cats.Auxiliary]
prod_precategory_data [definition, in TypeTheory.Displayed_Cats.Auxiliary]
prod_precategory_ob_mor [definition, in TypeTheory.Displayed_Cats.Auxiliary]
proj_mor [definition, in TypeTheory.OtherDefs.CwF_Pitts]
proj_functor [definition, in TypeTheory.Categories.category_of_elements]
proj_functor_data [definition, in TypeTheory.Categories.category_of_elements]
proj_mor [definition, in TypeTheory.OtherDefs.CwF_1]
pr1_transportf [lemma, in TypeTheory.Auxiliary.Auxiliary]
pr1_issurjective' [lemma, in TypeTheory.Auxiliary.Auxiliary]
pr1_equiv_inv [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
pr1_equiv [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
pr1_transportf_sigma_disp [lemma, in TypeTheory.Displayed_Cats.Constructions]
pr1_preserves_limit [lemma, in TypeTheory.Displayed_Cats.Limits]
pr1_category [definition, in TypeTheory.Displayed_Cats.Core]
pr1_category_is_functor [lemma, in TypeTheory.Displayed_Cats.Core]
pr1_category_data [definition, in TypeTheory.Displayed_Cats.Core]
pr2_equiv [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
pr2_transportf_sigma_disp [lemma, in TypeTheory.Displayed_Cats.Constructions]
pr2_tm_from_qq_paths [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
pr2_transportf [lemma, in TypeTheory.Displayed_Cats.Auxiliary]
pshf [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
pshf_axioms [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
pshf_data [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
Pullbacks_hSet [section, in TypeTheory.Auxiliary.Auxiliary]
Pullbacks_Cartesian [section, in TypeTheory.Displayed_Cats.Codomain]
Pullback_Unique_Up_To_Iso.T [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.pb' [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.H' [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.h [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.r [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.g' [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.f' [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.pb [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.H [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.j [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.k [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.g [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.f [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.B' [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.A' [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.D [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.C [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.B [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.A [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.CC [variable, in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso [section, in TypeTheory.Auxiliary.Auxiliary]
pullback_HSET_elements_unique [lemma, in TypeTheory.Auxiliary.Auxiliary]
pullback_HSET_univprop_elements [lemma, in TypeTheory.Auxiliary.Auxiliary]
pullback_is_cartesian [definition, in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
p_gen [definition, in TypeTheory.Instances.Presheaves]


Q

Q [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_structure_iso_to_id [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_structure_eq [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_from_term_mor_unique [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_from_term_mor [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_from_term_ob [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_structure_precategory [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_structure_axioms [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_structure_data [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_structure_id_comp [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_structure_ob_mor [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_structure_iso_disp_to_id [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
qq_structure_eq [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
qq_morphism_structure_of_split_typecat'_structure [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_comp_general [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_comp [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_id [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_morphism_data_from_structure [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_morphism_structure [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_morphism_axioms [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_π_Pb [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_π [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_morphism_data [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
_ [ _ ] [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_Morphism_Structures [section, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_compat_implies_eq [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Comparison]
qq_from_term_mor_unique [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
qq_from_term_mor [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
qq_from_term_ob [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
qq_from_term [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
qq_from_term_data [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
qq_commutes_1 [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
qq_term [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
qq_morphism_structure_of_compatible [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
qq_structure_precat [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
qq_structure_disp_cat [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
qq_structure_axioms [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
qq_structure_data [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
qq_structure_id_comp [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
qq_structure_ob_mor [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
qq_Structure_Precat [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
q_q_typecat [definition, in TypeTheory.ALV1.TypeCat]
q_typecat [definition, in TypeTheory.ALV1.TypeCat]
Q_comp_ext_compare [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Q_pp_Pb_unique [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Q_pp_Pb_univprop [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Q_pp_Pb_pointwise [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Q_pp [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
q_gen_mor_p [lemma, in TypeTheory.Instances.Presheaves]
q_gen_mor [definition, in TypeTheory.Instances.Presheaves]
q_gen [definition, in TypeTheory.Instances.Presheaves]
q_precwf [definition, in TypeTheory.OtherDefs.CwF_Pitts]
Q_from_qq_reconstruction [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Q_pp_from_qq [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Q_from_qq [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
q_precwf [definition, in TypeTheory.OtherDefs.CwF_1]


R

RC_type_functor [definition, in TypeTheory.OtherDefs.CwF_Pitts_completion]
RC_morphism_of_presheaves_recover [lemma, in TypeTheory.ALV1.CwF_def]
RC_Ty_iso [definition, in TypeTheory.ALV1.CwF_def]
RC_Tm_iso [definition, in TypeTheory.ALV1.CwF_def]
RC_pp'_eta [definition, in TypeTheory.ALV1.CwF_def]
reassoc_split_struct [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
Record_Preview.reind_pb [projection, in TypeTheory.ALV1.TypeCat]
Record_Preview.dpr_q [projection, in TypeTheory.ALV1.TypeCat]
Record_Preview.q [projection, in TypeTheory.ALV1.TypeCat]
Record_Preview.reind [projection, in TypeTheory.ALV1.TypeCat]
Record_Preview.dpr [projection, in TypeTheory.ALV1.TypeCat]
Record_Preview.ext [projection, in TypeTheory.ALV1.TypeCat]
Record_Preview.ty [projection, in TypeTheory.ALV1.TypeCat]
Record_Preview.C [projection, in TypeTheory.ALV1.TypeCat]
Record_Preview.type_precat_record [record, in TypeTheory.ALV1.TypeCat]
Record_Preview [module, in TypeTheory.ALV1.TypeCat]
Record_Preview.isPullback_of_DM [projection, in TypeTheory.OtherDefs.DM]
Record_Preview.sqr_comm_of_DM [projection, in TypeTheory.OtherDefs.DM]
Record_Preview.pb_arrow_of_arrow [projection, in TypeTheory.OtherDefs.DM]
Record_Preview.pb_DM_of_DM [projection, in TypeTheory.OtherDefs.DM]
Record_Preview.pb [projection, in TypeTheory.OtherDefs.DM]
Record_Preview.DM [projection, in TypeTheory.OtherDefs.DM]
Record_Preview.C [projection, in TypeTheory.OtherDefs.DM]
Record_Preview.CwDM [record, in TypeTheory.OtherDefs.DM]
Record_Preview [module, in TypeTheory.OtherDefs.DM]
Record_Preview.pre_cwf_law_2 [projection, in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.pre_cwf_law_1 [projection, in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.pairing [projection, in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.gen_element [projection, in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.proj_mor [projection, in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.comp_obj [projection, in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.reindx_term_comp [projection, in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.reindx_term_id [projection, in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.reindx_type_comp [projection, in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.reindx_type_id [projection, in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.rterm [projection, in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.rtype [projection, in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.term [projection, in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.type [projection, in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.C [projection, in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.precwf_record [record, in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview [module, in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.univ_prop [projection, in TypeTheory.OtherDefs.CwF_Dybjer]
Record_Preview.q [projection, in TypeTheory.OtherDefs.CwF_Dybjer]
Record_Preview.proj_mor [projection, in TypeTheory.OtherDefs.CwF_Dybjer]
Record_Preview.comp_obj [projection, in TypeTheory.OtherDefs.CwF_Dybjer]
Record_Preview.T [projection, in TypeTheory.OtherDefs.CwF_Dybjer]
Record_Preview.C [projection, in TypeTheory.OtherDefs.CwF_Dybjer]
Record_Preview.precwf_record [record, in TypeTheory.OtherDefs.CwF_Dybjer]
_ ₂ [notation, in TypeTheory.OtherDefs.CwF_Dybjer]
_ ₁ [notation, in TypeTheory.OtherDefs.CwF_Dybjer]
Record_Preview [module, in TypeTheory.OtherDefs.CwF_Dybjer]
Record_Preview.homsets_disp [projection, in TypeTheory.Displayed_Cats.Core]
Record_Preview.assoc_disp [projection, in TypeTheory.Displayed_Cats.Core]
Record_Preview.id_right_disp [projection, in TypeTheory.Displayed_Cats.Core]
Record_Preview.id_left_disp [projection, in TypeTheory.Displayed_Cats.Core]
Record_Preview.comp_disp [projection, in TypeTheory.Displayed_Cats.Core]
Record_Preview.id_disp [projection, in TypeTheory.Displayed_Cats.Core]
Record_Preview.mor_disp [projection, in TypeTheory.Displayed_Cats.Core]
Record_Preview.ob_disp [projection, in TypeTheory.Displayed_Cats.Core]
Record_Preview.disp_cat [record, in TypeTheory.Displayed_Cats.Core]
Record_Preview [module, in TypeTheory.Displayed_Cats.Core]
Record_Preview [module, in TypeTheory.OtherDefs.CwF_1]
reflects_pullbacks [definition, in TypeTheory.Auxiliary.Auxiliary]
Reindexing [section, in TypeTheory.Displayed_Cats.Core]
reindexing_disp_functor [section, in TypeTheory.Displayed_Cats.Core]
reindex_disp_functor [definition, in TypeTheory.Displayed_Cats.Core]
reindex_disp_cat [definition, in TypeTheory.Displayed_Cats.Core]
reindex_disp_cat_axioms [definition, in TypeTheory.Displayed_Cats.Core]
reindex_disp_cat_data [definition, in TypeTheory.Displayed_Cats.Core]
reindex_disp_cat_id_comp [definition, in TypeTheory.Displayed_Cats.Core]
reindex_disp_cat_ob_mor [definition, in TypeTheory.Displayed_Cats.Core]
reindx_laws_of_typecat [definition, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
reindx_laws_terms_of_typecat [definition, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
reindx_law_1_term_of_typecat [lemma, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
reindx_laws_type_of_typecat [lemma, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
reindx_struct_of_typecat [definition, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
reindx_term_comp' [lemma, in TypeTheory.OtherDefs.CwF_Pitts]
reindx_laws_from_cwf_struct [definition, in TypeTheory.OtherDefs.CwF_Pitts]
reindx_term_comp [definition, in TypeTheory.OtherDefs.CwF_Pitts]
reindx_term_id [definition, in TypeTheory.OtherDefs.CwF_Pitts]
reindx_type_comp [definition, in TypeTheory.OtherDefs.CwF_Pitts]
reindx_type_id [definition, in TypeTheory.OtherDefs.CwF_Pitts]
reindx_laws [definition, in TypeTheory.OtherDefs.CwF_Pitts]
reindx_laws_terms [definition, in TypeTheory.OtherDefs.CwF_Pitts]
reindx_laws_type [definition, in TypeTheory.OtherDefs.CwF_Pitts]
reindx_from_tt_reindx [definition, in TypeTheory.OtherDefs.CwF_Pitts]
reindx_structure [definition, in TypeTheory.OtherDefs.CwF_Pitts]
reindx_term_comp' [lemma, in TypeTheory.OtherDefs.CwF_1]
reindx_laws_from_cwf_struct [definition, in TypeTheory.OtherDefs.CwF_1]
reindx_term_comp [definition, in TypeTheory.OtherDefs.CwF_1]
reindx_term_id [definition, in TypeTheory.OtherDefs.CwF_1]
reindx_type_comp [definition, in TypeTheory.OtherDefs.CwF_1]
reindx_type_id [definition, in TypeTheory.OtherDefs.CwF_1]
reindx_laws [definition, in TypeTheory.OtherDefs.CwF_1]
reindx_laws_terms [definition, in TypeTheory.OtherDefs.CwF_1]
reindx_laws_type_proof [definition, in TypeTheory.OtherDefs.CwF_1]
reindx_laws_type [definition, in TypeTheory.OtherDefs.CwF_1]
reindx_from_tt_reindx [definition, in TypeTheory.OtherDefs.CwF_1]
reindx_structure [definition, in TypeTheory.OtherDefs.CwF_1]
reind_comp_term_typecat [definition, in TypeTheory.ALV1.TypeCat]
reind_comp_type_typecat [definition, in TypeTheory.ALV1.TypeCat]
reind_id_term_typecat [definition, in TypeTheory.ALV1.TypeCat]
reind_id_type_typecat [definition, in TypeTheory.ALV1.TypeCat]
reind_comp_typecat [definition, in TypeTheory.ALV1.TypeCat]
reind_pb_typecat [definition, in TypeTheory.ALV1.TypeCat]
reind_typecat [definition, in TypeTheory.ALV1.TypeCat]
RelativeUniverses [library]
relative_universe [definition, in TypeTheory.ALV1.RelativeUniverses]
Relative_Comprehension_Lemmas [section, in TypeTheory.ALV1.RelativeUniverses]
Relative_Comprehension [section, in TypeTheory.ALV1.RelativeUniverses]
RelUnivYonedaCompletion [library]
rel_universe_structure_induced_with_ess_surj [definition, in TypeTheory.ALV1.RelativeUniverses]
rel_universe_structure_induced_with_ess_split [definition, in TypeTheory.ALV1.RelativeUniverses]
Rel_Univ_Structure_Transfer.α_α' [variable, in TypeTheory.ALV1.RelativeUniverses]
Rel_Univ_Structure_Transfer.α'_α [variable, in TypeTheory.ALV1.RelativeUniverses]
Rel_Univ_Structure_Transfer.α' [variable, in TypeTheory.ALV1.RelativeUniverses]
Rel_Univ_Structure_Transfer.αiso [variable, in TypeTheory.ALV1.RelativeUniverses]
Rel_Univ_Structure_Transfer [section, in TypeTheory.ALV1.RelativeUniverses]
rel_universe_structure_prop [definition, in TypeTheory.ALV1.RelativeUniverses]
rel_universe_structure_data [definition, in TypeTheory.ALV1.RelativeUniverses]
rel_universe_structure [definition, in TypeTheory.ALV1.RelativeUniverses]
RepMaps [library]
Representation_Facts.Representation_Regrouping [section, in TypeTheory.ALV1.CwF_def]
Representation_Facts [section, in TypeTheory.ALV1.CwF_def]
rep_map [definition, in TypeTheory.ALV1.RepMaps]
rep1 [definition, in TypeTheory.ALV1.CwF_Defs_Equiv]
rep1_axioms [definition, in TypeTheory.ALV1.CwF_Defs_Equiv]
rep1_fiber_axioms [definition, in TypeTheory.ALV1.CwF_Defs_Equiv]
rep1_data [definition, in TypeTheory.ALV1.CwF_Defs_Equiv]
rep2 [definition, in TypeTheory.ALV1.CwF_Defs_Equiv]
rep2_data [definition, in TypeTheory.ALV1.CwF_Defs_Equiv]
retype_term_pi [lemma, in TypeTheory.OtherDefs.CwF_Pitts]
retype_term_pi [lemma, in TypeTheory.OtherDefs.CwF_1]
Rezk_functor [definition, in TypeTheory.OtherDefs.CwF_Pitts_completion]
Rezk_on_rep_map [definition, in TypeTheory.ALV1.RepMaps]
Rezk_on_WeakRelUnivYo [definition, in TypeTheory.ALV1.RelUnivYonedaCompletion]
Rezk_eta_full [definition, in TypeTheory.ALV1.RelUnivYonedaCompletion]
Rezk_on_RelUnivYoneda [definition, in TypeTheory.ALV1.RelUnivYonedaCompletion]
Rezk_on_cwf_structures [definition, in TypeTheory.ALV1.CwF_def]
right_adj_equiv_is_full [lemma, in TypeTheory.Auxiliary.Auxiliary]
right_adj_equiv_is_ess_sur [lemma, in TypeTheory.Auxiliary.Auxiliary]
right_adj_equiv_is_ff [lemma, in TypeTheory.Auxiliary.Auxiliary]
right_adjoint_of_is_equiv_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
right_adjoint_of_disp_adjunction [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
right_adjoint_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
right_adjoint_of_disp_adjunction_data [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
right_adjoint_over_data [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
right_adj_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
right_adjoint_of_is_equiv_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
right_adjoint_of_disp_adjunction_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
right_adjoint_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
right_adjoint_of_disp_adjunction_id_data [definition, in TypeTheory.Displayed_Cats.Equivalences]
right_adjoint_over_id_data [definition, in TypeTheory.Displayed_Cats.Equivalences]
right_adj_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
right_adj_over [definition, in TypeTheory.Displayed_Cats.Equivalences]
rterm [definition, in TypeTheory.OtherDefs.CwF_Pitts]
rterm [definition, in TypeTheory.OtherDefs.CwF_1]
rterm_univ [lemma, in TypeTheory.OtherDefs.CwF_Pitts]
rterm_mapeq [lemma, in TypeTheory.OtherDefs.CwF_Pitts]
rterm_typeeq [lemma, in TypeTheory.OtherDefs.CwF_Pitts]
rterm_univ [lemma, in TypeTheory.OtherDefs.CwF_1]
rterm_mapeq [lemma, in TypeTheory.OtherDefs.CwF_1]
rterm_typeeq [lemma, in TypeTheory.OtherDefs.CwF_1]
rtype [definition, in TypeTheory.OtherDefs.CwF_Pitts]
rtype [definition, in TypeTheory.OtherDefs.CwF_1]
r_to_l_reassoc_direct [definition, in TypeTheory.ALV1.TypeCat_Reassoc]


S

Sections [section, in TypeTheory.Displayed_Cats.Core]
# _ (mor_disp_scope) [notation, in TypeTheory.Displayed_Cats.Core]
section_qq_π [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
section_eq_from_tm_from_qq_eq [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
section_disp_comp [definition, in TypeTheory.Displayed_Cats.Core]
section_disp_id [definition, in TypeTheory.Displayed_Cats.Core]
section_disp_data_from_section_disp [definition, in TypeTheory.Displayed_Cats.Core]
section_disp [definition, in TypeTheory.Displayed_Cats.Core]
section_disp_axioms [definition, in TypeTheory.Displayed_Cats.Core]
section_disp_on_morphisms [definition, in TypeTheory.Displayed_Cats.Core]
section_disp_on_objects [definition, in TypeTheory.Displayed_Cats.Core]
section_disp_data [definition, in TypeTheory.Displayed_Cats.Core]
shuffle [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Sigma [section, in TypeTheory.Displayed_Cats.Constructions]
sigmapr1_disp_functor [definition, in TypeTheory.Displayed_Cats.Constructions]
sigmapr1_disp_functor_axioms [definition, in TypeTheory.Displayed_Cats.Constructions]
sigmapr1_disp_functor_data [definition, in TypeTheory.Displayed_Cats.Constructions]
sigma_disp_iso_isweq [lemma, in TypeTheory.Displayed_Cats.Constructions]
sigma_disp_iso_map [definition, in TypeTheory.Displayed_Cats.Constructions]
sigma_disp_iso [definition, in TypeTheory.Displayed_Cats.Constructions]
sigma_disp_cat [definition, in TypeTheory.Displayed_Cats.Constructions]
sigma_disp_cat_axioms [definition, in TypeTheory.Displayed_Cats.Constructions]
sigma_disp_cat_data [definition, in TypeTheory.Displayed_Cats.Constructions]
sigma_disp_cat_id_comp [definition, in TypeTheory.Displayed_Cats.Constructions]
sigma_disp_cat_ob_mor [definition, in TypeTheory.Displayed_Cats.Constructions]
SIP [definition, in TypeTheory.Displayed_Cats.SIP]
SIP [section, in TypeTheory.Displayed_Cats.SIP]
SIP [library]
SIP.C [variable, in TypeTheory.Displayed_Cats.SIP]
SIP.H [variable, in TypeTheory.Displayed_Cats.SIP]
SIP.Hcomp [variable, in TypeTheory.Displayed_Cats.SIP]
SIP.Hid [variable, in TypeTheory.Displayed_Cats.SIP]
SIP.Hisprop [variable, in TypeTheory.Displayed_Cats.SIP]
SIP.Hstandard [variable, in TypeTheory.Displayed_Cats.SIP]
SIP.P [variable, in TypeTheory.Displayed_Cats.SIP]
SIP.Pisset [variable, in TypeTheory.Displayed_Cats.SIP]
SIP.univC [variable, in TypeTheory.Displayed_Cats.SIP]
source [definition, in TypeTheory.Categories.ess_alg_categories]
source [definition, in TypeTheory.Auxiliary.Auxiliary]
split_typecat_structure [definition, in TypeTheory.ALV1.TypeCat]
split_full_from_ff [lemma, in TypeTheory.Auxiliary.Auxiliary]
split_full [definition, in TypeTheory.Auxiliary.Auxiliary]
split_ess_surj [definition, in TypeTheory.Auxiliary.Auxiliary]
split_struct [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
split_typecat'_structure_of_split_typecat' [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
split_typecat' [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
split_typecat'_structure [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
sqr_comm_of_DM [definition, in TypeTheory.OtherDefs.DM]
sqr_comm_of_dm_sub_pb [definition, in TypeTheory.OtherDefs.DM]
square_commutes_preShv_to_pointwise [lemma, in TypeTheory.Auxiliary.Auxiliary]
square_morphism_equal [lemma, in TypeTheory.Auxiliary.Auxiliary]
Square_Transfers [section, in TypeTheory.Auxiliary.Auxiliary]
standalone_to_structural [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
strucs_compat_axioms [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
strucs_compat_data [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
strucs_compat_id_comp [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
strucs_compat_ob_mor [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
strucs_compat_iso_disp_to_id [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
strucs_compat_disp_cat [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
strucs_compat_axioms [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
strucs_compat_data [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
strucs_compat_id_comp [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
strucs_compat_ob_mor [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
structural_to_standalone [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
Structural_Reassoc [section, in TypeTheory.ALV1.TypeCat_Reassoc]
struct_total [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
struct_hom.Hcomp [variable, in TypeTheory.Displayed_Cats.Constructions]
struct_hom.Hid [variable, in TypeTheory.Displayed_Cats.Constructions]
struct_hom.Hisprop [variable, in TypeTheory.Displayed_Cats.Constructions]
struct_hom.H [variable, in TypeTheory.Displayed_Cats.Constructions]
struct_hom.P [variable, in TypeTheory.Displayed_Cats.Constructions]
struct_hom.univC [variable, in TypeTheory.Displayed_Cats.Constructions]
struct_hom.C [variable, in TypeTheory.Displayed_Cats.Constructions]
struct_hom [section, in TypeTheory.Displayed_Cats.Constructions]
struct1 [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
struct2 [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
subst_pair_id [lemma, in TypeTheory.Instances.Presheaves]
subst_pair_subst [lemma, in TypeTheory.Instances.Presheaves]
subst_pair_q [lemma, in TypeTheory.Instances.Presheaves]
subst_type_pair_p [lemma, in TypeTheory.Instances.Presheaves]
subst_pair_p [lemma, in TypeTheory.Instances.Presheaves]
subst_el [definition, in TypeTheory.Instances.Presheaves]
subst_pair [definition, in TypeTheory.Instances.Presheaves]
subst_term_comp [lemma, in TypeTheory.Instances.Presheaves]
subst_term_id [lemma, in TypeTheory.Instances.Presheaves]
subst_term [definition, in TypeTheory.Instances.Presheaves]
subst_term_prf [lemma, in TypeTheory.Instances.Presheaves]
subst_type_comp [lemma, in TypeTheory.Instances.Presheaves]
subst_type_id [lemma, in TypeTheory.Instances.Presheaves]
subst_type [definition, in TypeTheory.Instances.Presheaves]
subst_functor [definition, in TypeTheory.Instances.Presheaves]


T

target [definition, in TypeTheory.Categories.ess_alg_categories]
target [definition, in TypeTheory.Auxiliary.Auxiliary]
te [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
te [definition, in TypeTheory.ALV1.CwF_Defs_Equiv]
term [definition, in TypeTheory.OtherDefs.CwF_Pitts]
term [definition, in TypeTheory.OtherDefs.CwF_1]
TermIn [definition, in TypeTheory.Instances.Presheaves]
TermInSection [definition, in TypeTheory.Instances.Presheaves]
TermInSection_to_TermIn [lemma, in TypeTheory.Instances.Presheaves]
TermIn_to_TermInSection [lemma, in TypeTheory.Instances.Presheaves]
TermIn_eq [lemma, in TypeTheory.Instances.Presheaves]
term_from_qq_mor_unique [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_from_qq_mor [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_from_qq_mor_TM [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_from_qq_mor [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_from_qq_ob [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_precategory [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_axioms [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_data [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_id_comp [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_ob_mor [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_mor_recover_term [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_to_section_naturality [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_mor_eq [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_mor_Q [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_mor_te [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_mor_pp [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_mor_TM [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_mor [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_structure_of_cwf'_structure [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_to_section_recover [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_to_section [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_to_section_aux [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_fun_data_from_term_fun [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_fun_structure [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_fun_structure_axioms [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_fun_str_square_comm [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_fun_structure_data [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_struc_to_qq_struc_equiv_types [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Comparison]
term_to_subst [definition, in TypeTheory.Instances.Presheaves]
term_struc_to_qq_struc_is_equiv [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
term_struc_to_qq_struc_fiber_functor [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
term_from_qq_mor_unique [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
term_from_qq_mor [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
term_from_qq_mor_TM [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
term_from_qq_mor [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
term_from_qq_ob [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
term_typeeq_transport_lemma_2 [lemma, in TypeTheory.OtherDefs.CwF_Pitts]
term_typeeq_transport_lemma [lemma, in TypeTheory.OtherDefs.CwF_Pitts]
term_from_qq [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
term_from_qq_data [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
term_structure_of_compatible [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
term_fun_structure_precat [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_disp_cat [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_axioms [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_data [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_id_comp [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_ob_mor [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_mor_transportf [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_mor_recover_term [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_to_section_naturality [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_mor_eq [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_mor_Q [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_mor_te [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_mor_pp [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_mor_TM [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_mor [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
Term_Fun_Structure_Precat [section, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_typeeq_transport_lemma_2 [lemma, in TypeTheory.OtherDefs.CwF_1]
term_typeeq_transport_lemma [lemma, in TypeTheory.OtherDefs.CwF_1]
te_from_qq [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
TM [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Tm [definition, in TypeTheory.ALV1.CwF_def]
tm_from_qq_mor_te [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
tm_from_qq_mor_pp [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
tm_from_qq_mor_TM [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
tm_from_qq_mor_naturality [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
tm_from_qq_mor_data [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
tm_from_qq_mor_te [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
tm_from_qq_mor_pp [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
tm_from_qq_mor_TM [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
tm_from_qq_mor_naturality [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
tm_from_qq_mor_data [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
tm_from_qq_eq_reindex [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
tm_from_qq [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
tm_from_qq_eq' [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
tm_from_qq_eq [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
tm_from_qq_functor_data [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
tm_from_qq_functor_mor [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
tm_from_qq_functor_ob [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
tm_from_qq_carrier [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Tm_Rezk_completion_recover [lemma, in TypeTheory.ALV1.CwF_def]
Tm_iso [definition, in TypeTheory.ALV1.CwF_def]
Tm_transfer_recover [lemma, in TypeTheory.ALV1.CwF_def]
top_disp_cat_axioms [definition, in TypeTheory.Displayed_Cats.Examples]
top_disp_cat_data [definition, in TypeTheory.Displayed_Cats.Examples]
top_disp_cat_ob_mor [definition, in TypeTheory.Displayed_Cats.Examples]
total_domain [definition, in TypeTheory.Displayed_Cats.Examples]
total_functor_alg [definition, in TypeTheory.Displayed_Cats.Examples]
total_comprehension_of_dm_structure [definition, in TypeTheory.Displayed_Cats.ComprehensionC]
total_limits [definition, in TypeTheory.Displayed_Cats.Limits]
total_functor [definition, in TypeTheory.Displayed_Cats.Core]
total_functor_axioms [definition, in TypeTheory.Displayed_Cats.Core]
total_functor_data [definition, in TypeTheory.Displayed_Cats.Core]
total_iso_equiv [definition, in TypeTheory.Displayed_Cats.Core]
total_iso_isweq [definition, in TypeTheory.Displayed_Cats.Core]
total_iso_equiv_map [definition, in TypeTheory.Displayed_Cats.Core]
total_iso [definition, in TypeTheory.Displayed_Cats.Core]
total_category [definition, in TypeTheory.Displayed_Cats.Core]
total_category_has_homsets [lemma, in TypeTheory.Displayed_Cats.Core]
total_precategory [definition, in TypeTheory.Displayed_Cats.Core]
total_category_is_precat [lemma, in TypeTheory.Displayed_Cats.Core]
total_category_data [definition, in TypeTheory.Displayed_Cats.Core]
total_category_id_comp [definition, in TypeTheory.Displayed_Cats.Core]
total_category_ob_mor [definition, in TypeTheory.Displayed_Cats.Core]
Total_Category [section, in TypeTheory.Displayed_Cats.Core]
total2_reassoc_paths' [lemma, in TypeTheory.Displayed_Cats.Constructions]
total2_reassoc_paths [lemma, in TypeTheory.Displayed_Cats.Constructions]
transfer_rep_map_weak_equiv [definition, in TypeTheory.ALV1.RepMaps]
transfer_rep_map_weak_equivalence [definition, in TypeTheory.Articles.ALV_2017]
transfer_cwf_weak_equivalence [definition, in TypeTheory.Articles.ALV_2017]
Transfer_of_WeakRelUnivYoneda [definition, in TypeTheory.ALV1.Transport_along_Equivs]
Transfer_of_RelUnivYoneda [definition, in TypeTheory.ALV1.Transport_along_Equivs]
transfer_of_rel_univ_with_ess_surj [definition, in TypeTheory.ALV1.RelativeUniverses]
transfer_of_rel_univ_with_ess_split [definition, in TypeTheory.ALV1.RelativeUniverses]
transfer_cwf_weak_equiv [definition, in TypeTheory.ALV1.CwF_def]
transportf_reind_typecat' [lemma, in TypeTheory.ALV1.TypeCat]
transportf_reind_typecat [lemma, in TypeTheory.ALV1.TypeCat]
transportf_dpr_typecat [lemma, in TypeTheory.ALV1.TypeCat]
transportf_isotoid_pshf [lemma, in TypeTheory.Auxiliary.Auxiliary]
transportf_pshf [lemma, in TypeTheory.Auxiliary.Auxiliary]
transportf_isotoid_functor [lemma, in TypeTheory.Auxiliary.Auxiliary]
transportf_yy [lemma, in TypeTheory.Auxiliary.Auxiliary]
transportf_ext [lemma, in TypeTheory.Auxiliary.Auxiliary]
transportf_pair [lemma, in TypeTheory.Auxiliary.Auxiliary]
transportf_comp_lemma_hset [lemma, in TypeTheory.Auxiliary.Auxiliary]
transportf_comp_lemma [lemma, in TypeTheory.Auxiliary.Auxiliary]
transportf_forall_var2 [definition, in TypeTheory.Auxiliary.Auxiliary]
transportf_forall_var [definition, in TypeTheory.Auxiliary.Auxiliary]
transportf_forall [lemma, in TypeTheory.Auxiliary.Auxiliary]
transportf_const [lemma, in TypeTheory.Auxiliary.Auxiliary]
transportf_obj_ext [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
transportf_term_fun_mor_TM [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
transportf_comp [lemma, in TypeTheory.Categories.category_FAM]
transportf_toforallpaths [lemma, in TypeTheory.Categories.category_FAM]
transportf_weqtopaths [lemma, in TypeTheory.Categories.category_FAM]
transportf_eqweqmap [lemma, in TypeTheory.Categories.category_FAM]
transportf_pathsinv0_var [lemma, in TypeTheory.Displayed_Cats.Constructions]
transportf_subst_type0 [lemma, in TypeTheory.Instances.Presheaves]
transportf_TypeIn [lemma, in TypeTheory.Instances.Presheaves]
transportf_term [lemma, in TypeTheory.Instances.Presheaves]
transportf_maponpaths [lemma, in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat]
transportf_rtype_mapeq [lemma, in TypeTheory.OtherDefs.CwF_Pitts]
transportf_bind [lemma, in TypeTheory.Displayed_Cats.Auxiliary]
transportf_transpose [lemma, in TypeTheory.Displayed_Cats.Auxiliary]
transportf_precompose_disp [lemma, in TypeTheory.Displayed_Cats.Core]
transportf_iso_disp [lemma, in TypeTheory.Displayed_Cats.Core]
transportf_rtype_mapeq [lemma, in TypeTheory.OtherDefs.CwF_1]
Transport_along_Equivs [library]
triangle_1_from_2_for_equiv_over_id [lemma, in TypeTheory.Displayed_Cats.Equivalences_bis]
triangle_2_from_1_for_equiv_over [lemma, in TypeTheory.Displayed_Cats.Equivalences_bis]
triangle_2_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
triangle_1_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
triangle_2_statement_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
triangle_1_statement_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
triangle_1_from_2_for_equiv_over_id [lemma, in TypeTheory.Displayed_Cats.Equivalences]
triangle_2_from_1_for_equiv_over_id [lemma, in TypeTheory.Displayed_Cats.Equivalences]
triangle_2_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
triangle_1_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
triangle_2_statement_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
triangle_1_statement_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
triangle_2_over_statement [definition, in TypeTheory.Displayed_Cats.Equivalences]
triangle_1_over_statement [definition, in TypeTheory.Displayed_Cats.Equivalences]
tri_2_GGεη [lemma, in TypeTheory.Displayed_Cats.Equivalences]
tri_1_GGεη [lemma, in TypeTheory.Displayed_Cats.Equivalences]
truncation_weq [definition, in TypeTheory.Auxiliary.Auxiliary]
tt_reindx_type_struct_of_typecat [definition, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
tt_reindx_comp_1_of_typecat [definition, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
tt_reindx_from_typecat [definition, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
tt_structure_of_typecat [definition, in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
tt_reindx_comp_1_from_tt_reindx_comp [definition, in TypeTheory.OtherDefs.CwF_Pitts]
tt_reindx_type_struct [definition, in TypeTheory.OtherDefs.CwF_Pitts]
tt_reindx_from_tt_reindx_comp_1 [definition, in TypeTheory.OtherDefs.CwF_Pitts]
tt_reindx_comp_1_struct [definition, in TypeTheory.OtherDefs.CwF_Pitts]
tt_from_tt_reindx [definition, in TypeTheory.OtherDefs.CwF_Pitts]
tt_reindx_struct [definition, in TypeTheory.OtherDefs.CwF_Pitts]
tt_structure [definition, in TypeTheory.OtherDefs.CwF_Pitts]
tt_reindx_comp_1_from_tt_reindx_comp [definition, in TypeTheory.OtherDefs.CwF_1]
tt_reindx_type_struct [definition, in TypeTheory.OtherDefs.CwF_1]
tt_reindx_from_tt_reindx_comp_1 [definition, in TypeTheory.OtherDefs.CwF_1]
tt_reindx_comp_1_struct [definition, in TypeTheory.OtherDefs.CwF_1]
tt_from_tt_reindx [definition, in TypeTheory.OtherDefs.CwF_1]
tt_reindx_struct [definition, in TypeTheory.OtherDefs.CwF_1]
tt_structure [definition, in TypeTheory.OtherDefs.CwF_1]
tU [abbreviation, in TypeTheory.ALV1.RelativeUniverses]
TY [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Ty [definition, in TypeTheory.ALV1.CwF_def]
type [definition, in TypeTheory.OtherDefs.CwF_Pitts]
type [definition, in TypeTheory.OtherDefs.CwF_1]
TypeCat [section, in TypeTheory.Instances.Presheaves]
TypeCat [library]
typecat_from_split [definition, in TypeTheory.ALV1.TypeCat]
typecat_structure [definition, in TypeTheory.ALV1.TypeCat]
typecat_structure2 [definition, in TypeTheory.ALV1.TypeCat]
typecat_structure1 [definition, in TypeTheory.ALV1.TypeCat]
TypeCat_to_DM.C [variable, in TypeTheory.OtherDefs.DM_to_TypeCat_to_DM]
TypeCat_to_DM.H [variable, in TypeTheory.OtherDefs.DM_to_TypeCat_to_DM]
TypeCat_to_DM.CC [variable, in TypeTheory.OtherDefs.DM_to_TypeCat_to_DM]
TypeCat_to_DM [section, in TypeTheory.OtherDefs.DM_to_TypeCat_to_DM]
TypeCat_to_DM.C [variable, in TypeTheory.OtherDefs.TypeCat_to_DM]
TypeCat_to_DM.H [variable, in TypeTheory.OtherDefs.TypeCat_to_DM]
TypeCat_to_DM.CC [variable, in TypeTheory.OtherDefs.TypeCat_to_DM]
TypeCat_to_DM [section, in TypeTheory.OtherDefs.TypeCat_to_DM]
TypeCat_to_CwF_Pitts [library]
TypeCat_to_DM [library]
TypeCat_Reassoc [library]
_ ⋆ _ [notation, in TypeTheory.Instances.Presheaves]
_ ⦃ _ ⦄ [notation, in TypeTheory.Instances.Presheaves]
_ ⊢ _ [notation, in TypeTheory.Instances.Presheaves]
_ ⊢ [notation, in TypeTheory.Instances.Presheaves]
typecat1_from_typecat [definition, in TypeTheory.ALV1.TypeCat]
TypePreCat_of_PreCwF [section, in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat]
Type_Precats.access_functions [section, in TypeTheory.ALV1.TypeCat]
_ {{ _ }} [notation, in TypeTheory.ALV1.TypeCat]
_ ◂ _ [notation, in TypeTheory.ALV1.TypeCat]
Type_Precats [section, in TypeTheory.ALV1.TypeCat]
type_functor [definition, in TypeTheory.OtherDefs.CwF_Pitts_completion]
type_is_functor [definition, in TypeTheory.OtherDefs.CwF_Pitts_completion]
type_functor_data [definition, in TypeTheory.OtherDefs.CwF_Pitts_completion]
type_hSet [definition, in TypeTheory.OtherDefs.CwF_Pitts_completion]
type_cat_of_precwf [definition, in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat]
type_cat1_of_precwf [definition, in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat]
type_cat_struct_from_DM [definition, in TypeTheory.OtherDefs.DM_to_TypeCat]
type_cat_structure2_from_DM [definition, in TypeTheory.OtherDefs.DM_to_TypeCat]
type_cat_structure1_from_DM [definition, in TypeTheory.OtherDefs.DM_to_TypeCat]
ty_typecat [definition, in TypeTheory.ALV1.TypeCat]
Ty_Rezk_completion_recover [lemma, in TypeTheory.ALV1.CwF_def]
Ty_iso [definition, in TypeTheory.ALV1.CwF_def]
Ty_transfer_recover [lemma, in TypeTheory.ALV1.CwF_def]
T_q_comp [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
T_reind_comp [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
T_q_id [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
T_reind_id [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
T_set [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
T_q_etc [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
T_reind [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
T_dpr [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
T_ext [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
T_ty [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
T1 [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
T2 [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]


U

U [abbreviation, in TypeTheory.ALV1.RelativeUniverses]
UnicodeNotations [library]
unique_lift [definition, in TypeTheory.Displayed_Cats.Fibrations]
unit_comp [definition, in TypeTheory.Auxiliary.Auxiliary]
unit_over [definition, in TypeTheory.Displayed_Cats.Equivalences_bis]
unit_over_id [definition, in TypeTheory.Displayed_Cats.Equivalences]
unit_over [definition, in TypeTheory.Displayed_Cats.Equivalences]
unit_functor [definition, in TypeTheory.Displayed_Cats.Auxiliary]
unit_precategory [definition, in TypeTheory.Displayed_Cats.Auxiliary]
univalent_fibration_is_cloven [definition, in TypeTheory.Displayed_Cats.Fibrations]
univalent_disp_cat_has_groupoid_obs [lemma, in TypeTheory.Displayed_Cats.Core]
Univalent_Categories [section, in TypeTheory.Displayed_Cats.Core]
Unorganised [section, in TypeTheory.Auxiliary.Auxiliary]
Utilities [section, in TypeTheory.Displayed_Cats.Core]


W

weak_fibration [definition, in TypeTheory.Displayed_Cats.Fibrations]
weak_iso_fibration [definition, in TypeTheory.Displayed_Cats.Fibrations]
weak_relative_universe_transfer [definition, in TypeTheory.ALV1.RelativeUniverses]
weak_from_relative_universe [definition, in TypeTheory.ALV1.RelativeUniverses]
weak_relative_universe [definition, in TypeTheory.ALV1.RelativeUniverses]
weqhomot [lemma, in TypeTheory.Auxiliary.Auxiliary]
weqpathscomp0l [definition, in TypeTheory.Auxiliary.Auxiliary]
weqpathscomp0l [definition, in TypeTheory.Categories.category_FAM]
weqpathscomp0r [definition, in TypeTheory.Auxiliary.Auxiliary]
weqtotal2asstol' [lemma, in TypeTheory.Auxiliary.Auxiliary]
weqtotal2asstor' [lemma, in TypeTheory.Auxiliary.Auxiliary]
weqtotal2asstor' [definition, in TypeTheory.ALV1.CwF_def]
weq_opp_iso [definition, in TypeTheory.OtherDefs.CwF_Pitts_completion]
weq_rep_map_weakRelUnivYo [definition, in TypeTheory.ALV1.RepMaps]
weq_is_representable_is_universe_relative [lemma, in TypeTheory.ALV1.RepMaps]
weq_cwf_rep_map [definition, in TypeTheory.ALV1.RepMaps]
weq_exchange_args [definition, in TypeTheory.Auxiliary.Auxiliary]
weq_standalone_to_regrouped [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
weq_structural_regrouped [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
weq_structural_q_mor_data [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
weq_structural_obj_ext [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
weq_structural_pshf [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
weq_structural_pshf_axioms [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
weq_structural_pshf_data [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
weq_standalone_structural_explicit [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
weq_standalone_structural [definition, in TypeTheory.ALV1.TypeCat_Reassoc]
weq_reassoc_direct [lemma, in TypeTheory.ALV1.TypeCat_Reassoc]
weq_eq_obj_ext_iso_alt [definition, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
weq_rep_map_cwf_Rezk [definition, in TypeTheory.Articles.ALV_2017]
weq_sty_cwf [definition, in TypeTheory.Articles.ALV_2017]
weq_cwf'_sty' [definition, in TypeTheory.Articles.ALV_2017]
weq_standalone_to_regrouped [definition, in TypeTheory.Articles.ALV_2017]
weq_cwf_cwf'_structure [definition, in TypeTheory.Articles.ALV_2017]
weq_weak_relative_universe_transfer [definition, in TypeTheory.ALV1.RelativeUniverses]
weq_relative_universe_weak_relative_universe [lemma, in TypeTheory.ALV1.RelativeUniverses]
weq_rel_universe_structure_ [definition, in TypeTheory.ALV1.RelativeUniverses]
weq_cwf'_sty' [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
weq_term_qq [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
weq_cwf_cwf'_structure [definition, in TypeTheory.ALV1.CwF_Defs_Equiv]
weq_rep1_representation [definition, in TypeTheory.ALV1.CwF_Defs_Equiv]
weq_rep2_rep1_data [definition, in TypeTheory.ALV1.CwF_Defs_Equiv]
weq_cwf'_cwf1_structure [definition, in TypeTheory.ALV1.CwF_Defs_Equiv]
weq_rep1_cwf'_data [definition, in TypeTheory.ALV1.CwF_Defs_Equiv]
weq_subtypes_iff [lemma, in TypeTheory.Displayed_Cats.Auxiliary]
weq_subtypes' [lemma, in TypeTheory.Displayed_Cats.Auxiliary]
weq_cwf_structure_RelUnivYo [definition, in TypeTheory.ALV1.CwF_def]
weq_cwf_representation_rel_universe_structure [lemma, in TypeTheory.ALV1.CwF_def]
weq_cwf_fiber_representation_fpullback [definition, in TypeTheory.ALV1.CwF_def]


Y

yoneda_induction [definition, in TypeTheory.ALV1.CwF_def]
Yo_qq_term_Yo_of_qq [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Yo_of_qq_commutes_2 [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Yo_of_qq_commutes_1 [lemma, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Yo_of_qq [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
yy [definition, in TypeTheory.Auxiliary.Auxiliary]
yy_comp_nat_trans [lemma, in TypeTheory.Auxiliary.Auxiliary]
yy_natural [lemma, in TypeTheory.Auxiliary.Auxiliary]


Z

ZZ [abbreviation, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]


other

_ × _ (cat) [notation, in TypeTheory.Displayed_Cats.Auxiliary]
( _ , _ , .. , _ ) (core_scope) [notation, in TypeTheory.Auxiliary.Auxiliary]
_ × _ (disp_cat_scope) [notation, in TypeTheory.Displayed_Cats.Constructions]
#?' _ (hide_transport_scope) [notation, in TypeTheory.Displayed_Cats.Core]
#? _ (hide_transport_scope) [notation, in TypeTheory.Displayed_Cats.Core]
_ ;; _ (mor_scope) [notation, in TypeTheory.Auxiliary.Auxiliary]
# _ (mor_disp_scope) [notation, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
# _ (mor_disp_scope) [notation, in TypeTheory.Displayed_Cats.Core]
_ ;; _ (mor_disp_scope) [notation, in TypeTheory.Displayed_Cats.Core]
_ {{ _ }} [notation, in TypeTheory.ALV1.TypeCat]
_ ◂ _ [notation, in TypeTheory.ALV1.TypeCat]
_ ◂ _ [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
_ ◂ _ [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
_ ⋆ _ [notation, in TypeTheory.OtherDefs.DM]
_ [{ _ }] [notation, in TypeTheory.Displayed_Cats.Constructions]
_ ## _ [notation, in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat]
_ ♯ _ [notation, in TypeTheory.OtherDefs.CwF_Pitts]
_ ∙ _ [notation, in TypeTheory.OtherDefs.CwF_Pitts]
_ ⟦ _ ⟧ [notation, in TypeTheory.OtherDefs.CwF_Pitts]
_ {{ _ }} [notation, in TypeTheory.OtherDefs.CwF_Pitts]
_ ⟨ _ ⊢ _ ⟩ [notation, in TypeTheory.OtherDefs.CwF_Pitts]
_ ⟨ _ ⟩ [notation, in TypeTheory.OtherDefs.CwF_Pitts]
_ ⦃ _ , _ ⦄ [notation, in TypeTheory.OtherDefs.CwF_Dybjer]
_ ^op [notation, in TypeTheory.OtherDefs.CwF_Dybjer]
_ ◂ _ [notation, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
_ -->[ _ ] _ [notation, in TypeTheory.Displayed_Cats.Core]
_ ## _ [notation, in TypeTheory.OtherDefs.CwF_Pitts_to_DM]
_ ♯ _ [notation, in TypeTheory.OtherDefs.CwF_1]
_ ∙ _ [notation, in TypeTheory.OtherDefs.CwF_1]
_ ⟦ _ ⟧ [notation, in TypeTheory.OtherDefs.CwF_1]
_ [[ _ ]] [notation, in TypeTheory.OtherDefs.CwF_1]
_ ⟨ _ ⊢ _ ⟩ [notation, in TypeTheory.OtherDefs.CwF_1]
_ ⟨ _ ⟩ [notation, in TypeTheory.OtherDefs.CwF_1]
Tm [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
Tm [notation, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
Ty [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
Ty [notation, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Ty [notation, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
Yo [notation, in TypeTheory.Auxiliary.Auxiliary]
Yo^-1 [notation, in TypeTheory.Auxiliary.Auxiliary]
# _ [notation, in TypeTheory.OtherDefs.CwF_Dybjer]
# _ [notation, in TypeTheory.OtherDefs.CwF_1]
[ _ , _ , _ ] [notation, in TypeTheory.Auxiliary.Auxiliary]
[ _ , _ ] [notation, in TypeTheory.ALV1.RelUnivYonedaCompletion]
[ _ , _ ] [notation, in TypeTheory.ALV1.Transport_along_Equivs]
[ _ , _ ] [notation, in TypeTheory.ALV1.RelativeUniverses]
ν _ [notation, in TypeTheory.OtherDefs.CwF_Pitts]
ν _ [notation, in TypeTheory.OtherDefs.CwF_1]
π _ [notation, in TypeTheory.OtherDefs.CwF_Pitts]
π _ [notation, in TypeTheory.OtherDefs.CwF_1]
Δ [abbreviation, in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
Δ [abbreviation, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Δ [abbreviation, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Δ [abbreviation, in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Δ [abbreviation, in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Δ [abbreviation, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
Δ_φ [lemma, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
αpwiso [definition, in TypeTheory.ALV1.RelativeUniverses]
α_iso [definition, in TypeTheory.ALV1.RelativeUniverses]
α'_iso [definition, in TypeTheory.ALV1.RelativeUniverses]
ε_ff_split [definition, in TypeTheory.Auxiliary.Auxiliary]
ε_inv [definition, in TypeTheory.Displayed_Cats.Equivalences]
ε_ses_ff [definition, in TypeTheory.Displayed_Cats.Equivalences]
ε_ses_ff_ax [lemma, in TypeTheory.Displayed_Cats.Equivalences]
ε_ses_ff_data [definition, in TypeTheory.Displayed_Cats.Equivalences]
ε_inv_disc_fib [definition, in TypeTheory.Displayed_Cats.Fibrations]
ε_disc_fib [definition, in TypeTheory.Displayed_Cats.Fibrations]
η_ff_split [definition, in TypeTheory.Auxiliary.Auxiliary]
η_inv [definition, in TypeTheory.Displayed_Cats.Equivalences]
η_ses_ff [definition, in TypeTheory.Displayed_Cats.Equivalences]
η_ses_ff_ax [definition, in TypeTheory.Displayed_Cats.Equivalences]
η_ses_ff_data [definition, in TypeTheory.Displayed_Cats.Equivalences]
η_disc_fib [definition, in TypeTheory.Displayed_Cats.Fibrations]
π [definition, in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
π [definition, in TypeTheory.Instances.Presheaves]
π [abbreviation, in TypeTheory.Displayed_Cats.Limits]
φ [abbreviation, in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
φ [abbreviation, in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
φ [abbreviation, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
φ [abbreviation, in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]



Notation Index

C

_ × _ (cat) [in TypeTheory.Displayed_Cats.Auxiliary]
[in TypeTheory.Categories.category_of_elements]
_ ⋆ _ [in TypeTheory.Instances.Presheaves]
_ ⦃ _ ⦄ [in TypeTheory.Instances.Presheaves]
_ ⊢ _ [in TypeTheory.Instances.Presheaves]
_ ⊢ [in TypeTheory.Instances.Presheaves]


D

# _ (mor_disp_scope) [in TypeTheory.Displayed_Cats.Core]
_ ;; _ (mor_disp_scope) [in TypeTheory.Displayed_Cats.Core]
_ -->[ _ ] _ [in TypeTheory.Displayed_Cats.Core]


F

Tm [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
_ [ _ ] [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
_ ₂ [in TypeTheory.Categories.category_FAM]
_ ₁ [in TypeTheory.Categories.category_FAM]
Ty [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
_ ◂ _ [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Ty [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
_ ◂ _ [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Tm [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
_ [ _ ] [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Ty [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
_ ◂ _ [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Tm [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
_ [ _ ] [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Ty [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
_ ◂ _ [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
π [in TypeTheory.Displayed_Cats.Examples]
# _ (mor_disp_scope) [in TypeTheory.Displayed_Cats.Core]


O

_ ◂ _ [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Ty [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
_ [ _ ] (TY_scope) [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]


P

_ ⋆ _ [in TypeTheory.Instances.Presheaves]
_ ⊢ _ [in TypeTheory.Instances.Presheaves]
_ ⦃ _ ⦄ [in TypeTheory.Instances.Presheaves]
_ ⊢ [in TypeTheory.Instances.Presheaves]
1 [in TypeTheory.Instances.Presheaves]


Q

_ [ _ ] [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]


R

_ ₂ [in TypeTheory.OtherDefs.CwF_Dybjer]
_ ₁ [in TypeTheory.OtherDefs.CwF_Dybjer]


S

# _ (mor_disp_scope) [in TypeTheory.Displayed_Cats.Core]


T

_ ⋆ _ [in TypeTheory.Instances.Presheaves]
_ ⦃ _ ⦄ [in TypeTheory.Instances.Presheaves]
_ ⊢ _ [in TypeTheory.Instances.Presheaves]
_ ⊢ [in TypeTheory.Instances.Presheaves]
_ {{ _ }} [in TypeTheory.ALV1.TypeCat]
_ ◂ _ [in TypeTheory.ALV1.TypeCat]


other

_ × _ (cat) [in TypeTheory.Displayed_Cats.Auxiliary]
( _ , _ , .. , _ ) (core_scope) [in TypeTheory.Auxiliary.Auxiliary]
_ × _ (disp_cat_scope) [in TypeTheory.Displayed_Cats.Constructions]
#?' _ (hide_transport_scope) [in TypeTheory.Displayed_Cats.Core]
#? _ (hide_transport_scope) [in TypeTheory.Displayed_Cats.Core]
_ ;; _ (mor_scope) [in TypeTheory.Auxiliary.Auxiliary]
# _ (mor_disp_scope) [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
# _ (mor_disp_scope) [in TypeTheory.Displayed_Cats.Core]
_ ;; _ (mor_disp_scope) [in TypeTheory.Displayed_Cats.Core]
_ {{ _ }} [in TypeTheory.ALV1.TypeCat]
_ ◂ _ [in TypeTheory.ALV1.TypeCat]
_ ◂ _ [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
_ ◂ _ [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
_ ⋆ _ [in TypeTheory.OtherDefs.DM]
_ [{ _ }] [in TypeTheory.Displayed_Cats.Constructions]
_ ## _ [in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat]
_ ♯ _ [in TypeTheory.OtherDefs.CwF_Pitts]
_ ∙ _ [in TypeTheory.OtherDefs.CwF_Pitts]
_ ⟦ _ ⟧ [in TypeTheory.OtherDefs.CwF_Pitts]
_ {{ _ }} [in TypeTheory.OtherDefs.CwF_Pitts]
_ ⟨ _ ⊢ _ ⟩ [in TypeTheory.OtherDefs.CwF_Pitts]
_ ⟨ _ ⟩ [in TypeTheory.OtherDefs.CwF_Pitts]
_ ⦃ _ , _ ⦄ [in TypeTheory.OtherDefs.CwF_Dybjer]
_ ^op [in TypeTheory.OtherDefs.CwF_Dybjer]
_ ◂ _ [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
_ -->[ _ ] _ [in TypeTheory.Displayed_Cats.Core]
_ ## _ [in TypeTheory.OtherDefs.CwF_Pitts_to_DM]
_ ♯ _ [in TypeTheory.OtherDefs.CwF_1]
_ ∙ _ [in TypeTheory.OtherDefs.CwF_1]
_ ⟦ _ ⟧ [in TypeTheory.OtherDefs.CwF_1]
_ [[ _ ]] [in TypeTheory.OtherDefs.CwF_1]
_ ⟨ _ ⊢ _ ⟩ [in TypeTheory.OtherDefs.CwF_1]
_ ⟨ _ ⟩ [in TypeTheory.OtherDefs.CwF_1]
Tm [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
Tm [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
Ty [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
Ty [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Ty [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
Yo [in TypeTheory.Auxiliary.Auxiliary]
Yo^-1 [in TypeTheory.Auxiliary.Auxiliary]
# _ [in TypeTheory.OtherDefs.CwF_Dybjer]
# _ [in TypeTheory.OtherDefs.CwF_1]
[ _ , _ , _ ] [in TypeTheory.Auxiliary.Auxiliary]
[ _ , _ ] [in TypeTheory.ALV1.RelUnivYonedaCompletion]
[ _ , _ ] [in TypeTheory.ALV1.Transport_along_Equivs]
[ _ , _ ] [in TypeTheory.ALV1.RelativeUniverses]
ν _ [in TypeTheory.OtherDefs.CwF_Pitts]
ν _ [in TypeTheory.OtherDefs.CwF_1]
π _ [in TypeTheory.OtherDefs.CwF_Pitts]
π _ [in TypeTheory.OtherDefs.CwF_1]



Module Index

G

group [in TypeTheory.Displayed_Cats.Examples]


R

Record_Preview [in TypeTheory.ALV1.TypeCat]
Record_Preview [in TypeTheory.OtherDefs.DM]
Record_Preview [in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview [in TypeTheory.OtherDefs.CwF_Dybjer]
Record_Preview [in TypeTheory.Displayed_Cats.Core]
Record_Preview [in TypeTheory.OtherDefs.CwF_1]



Variable Index

A

about_equivalences.εinv [in TypeTheory.Auxiliary.Auxiliary]
about_equivalences.ηinv [in TypeTheory.Auxiliary.Auxiliary]
about_equivalences.ε [in TypeTheory.Auxiliary.Auxiliary]
about_equivalences.η [in TypeTheory.Auxiliary.Auxiliary]
about_equivalences.G [in TypeTheory.Auxiliary.Auxiliary]
about_equivalences.GG [in TypeTheory.Auxiliary.Auxiliary]
about_equivalences.F [in TypeTheory.Auxiliary.Auxiliary]
about_equivalences.D2 [in TypeTheory.Auxiliary.Auxiliary]
about_equivalences.D1 [in TypeTheory.Auxiliary.Auxiliary]
access_functions.C [in TypeTheory.Categories.ess_alg_categories]
arrow.C [in TypeTheory.Displayed_Cats.Examples]
axioms.i [in TypeTheory.Categories.ess_alg_categories]


C

cartesian_product.C' [in TypeTheory.Displayed_Cats.Examples]
cartesian_product.C [in TypeTheory.Displayed_Cats.Examples]
cartesian_product_pb.C' [in TypeTheory.Displayed_Cats.Examples]
cartesian_product_pb.C [in TypeTheory.Displayed_Cats.Examples]
category_of_elements_covariant.F [in TypeTheory.Categories.category_of_elements]
category_of_elements_covariant.C [in TypeTheory.Categories.category_of_elements]
Comp_Cat_of_DM_Structure.H [in TypeTheory.Displayed_Cats.ComprehensionC]
CwF_RC_recover.RCequiv [in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.ηη [in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.hsRCop [in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.pp' [in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.pp [in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.TY' [in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.TY [in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.TM' [in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.TM [in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.T' [in TypeTheory.ALV1.CwF_def]
CwF_RC_recover.RC [in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.Fopequiv [in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.isweq_Fcomp [in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.ηη [in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.hsDop [in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.pp' [in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.pp [in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.TY' [in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.TY [in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.TM' [in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.TM [in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.T' [in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover.DD [in TypeTheory.ALV1.CwF_def]


D

Discrete_Fibrations.Equivalence_disc_fibs_presheaves.C [in TypeTheory.Displayed_Cats.Fibrations]
Displayed_Equiv_Inv.ε [in TypeTheory.Displayed_Cats.Equivalences]
Displayed_Equiv_Inv.η [in TypeTheory.Displayed_Cats.Equivalences]
Displayed_Equiv_Inv.GG [in TypeTheory.Displayed_Cats.Equivalences]
DM_to_TypeCat.C [in TypeTheory.OtherDefs.DM_to_TypeCat]
DM_to_TypeCat.hs [in TypeTheory.OtherDefs.DM_to_TypeCat]
DM_to_TypeCat.CC [in TypeTheory.OtherDefs.DM_to_TypeCat]


E

Equiv_from_ff_plus_ess_split.FFinv [in TypeTheory.Displayed_Cats.Equivalences_bis]
Equiv_from_ff_plus_ess_split.FFweq [in TypeTheory.Displayed_Cats.Equivalences_bis]
Equiv_from_ff_plus_ess_split.FFinv [in TypeTheory.Displayed_Cats.Equivalences]
Equiv_from_ff_plus_ess_split.FFweq [in TypeTheory.Displayed_Cats.Equivalences]
eqv_from_ess_split_and_ff.Finv [in TypeTheory.Auxiliary.Auxiliary]
eqv_from_ess_split_and_ff.Fweq [in TypeTheory.Auxiliary.Auxiliary]
eqv_inv.εiso [in TypeTheory.Auxiliary.Auxiliary]
eqv_inv.ηiso [in TypeTheory.Auxiliary.Auxiliary]
eqv_inv.G [in TypeTheory.Auxiliary.Auxiliary]
eqv_inv.ε [in TypeTheory.Auxiliary.Auxiliary]
eqv_inv.η [in TypeTheory.Auxiliary.Auxiliary]
eqv_inv.adEquivF [in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.HF' [in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.HF [in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp.G' [in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp.G [in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp.ε' [in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp.ε [in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp.η' [in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp.η [in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp.adF' [in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp.adF [in TypeTheory.Auxiliary.Auxiliary]
ess_alg_from_gen_alg.H [in TypeTheory.Categories.ess_and_gen_alg_cats]
ess_alg_from_gen_alg.hs [in TypeTheory.Categories.ess_and_gen_alg_cats]
ess_alg_from_gen_alg.C [in TypeTheory.Categories.ess_and_gen_alg_cats]


F

FAM.C [in TypeTheory.Categories.category_FAM]
Fiber.H [in TypeTheory.Displayed_Cats.Constructions]
Fiber.idto1 [in TypeTheory.Displayed_Cats.Constructions]
Fiber.idto2 [in TypeTheory.Displayed_Cats.Constructions]
Fix_Category.C [in TypeTheory.ALV1.RepMaps]
fix_cat_obj_ext.X [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.C [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_category.RC [in TypeTheory.ALV1.RelUnivYonedaCompletion]
fix_category.C [in TypeTheory.ALV1.RelUnivYonedaCompletion]
Fix_Context.compatible_structures.canonical_TM.Y [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Fix_Context.compatible_structures.canonical_TM.Z [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Fix_Base_Category.compatible_comp_structure_from_term.qq_from_term.Xk [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_comp_structure_from_term.qq_from_term.A [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_comp_structure_from_term.qq_from_term.f [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_comp_structure_from_term.qq_from_term.Γ' [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_comp_structure_from_term.qq_from_term.Γ [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_comp_structure_from_term.Y [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_term_structure_from_qq.Tm_fun_axioms_from_qq.A [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_term_structure_from_qq.Tm_fun_axioms_from_qq.Γ [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_term_structure_from_qq.Z [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
full_subcat.P [in TypeTheory.Displayed_Cats.Constructions]
full_subcat.C [in TypeTheory.Displayed_Cats.Constructions]
Functor.C [in TypeTheory.Displayed_Cats.Constructions]
Functor.C' [in TypeTheory.Displayed_Cats.Constructions]
Functor.D [in TypeTheory.Displayed_Cats.Constructions]
Functor.D' [in TypeTheory.Displayed_Cats.Constructions]
Functor.FunctorsC'C [in TypeTheory.Displayed_Cats.Constructions]


G

gen_alg_from_ess_alg.C [in TypeTheory.Categories.ess_and_gen_alg_cats]


I

Is_universe_relative_to_Transfer.fix_a_morphism.map_on_is_universe_relativ_to.is [in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.fix_a_morphism.pp [in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.fix_a_morphism.tU [in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.fix_a_morphism.U [in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.α_α' [in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.α'_α [in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.α' [in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.αiso [in TypeTheory.ALV1.RelativeUniverses]


L

lemmas.C [in TypeTheory.ALV1.TypeCat]
lemmas.CC [in TypeTheory.ALV1.TypeCat]
lemmas.hs [in TypeTheory.ALV1.TypeCat]


M

monad_algebras.FAlg [in TypeTheory.Displayed_Cats.Examples]
monad_algebras.T' [in TypeTheory.Displayed_Cats.Examples]


O

on_pullbacks.Pb [in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.sqr_comm [in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.h [in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.k [in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.g [in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.f [in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.d [in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.c [in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.b [in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.a [in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.hs [in TypeTheory.Auxiliary.Auxiliary]
on_pullbacks.C [in TypeTheory.Auxiliary.Auxiliary]
over_terminal_category.C [in TypeTheory.Displayed_Cats.Examples]


P

presheaves.p [in TypeTheory.Instances.Presheaves]
presheaves.q [in TypeTheory.Instances.Presheaves]
Pullback_Unique_Up_To_Iso.T [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.pb' [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.H' [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.h [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.r [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.g' [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.f' [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.pb [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.H [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.j [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.k [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.g [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.f [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.B' [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.A' [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.D [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.C [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.B [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.A [in TypeTheory.Auxiliary.Auxiliary]
Pullback_Unique_Up_To_Iso.CC [in TypeTheory.Auxiliary.Auxiliary]


R

Rel_Univ_Structure_Transfer.α_α' [in TypeTheory.ALV1.RelativeUniverses]
Rel_Univ_Structure_Transfer.α'_α [in TypeTheory.ALV1.RelativeUniverses]
Rel_Univ_Structure_Transfer.α' [in TypeTheory.ALV1.RelativeUniverses]
Rel_Univ_Structure_Transfer.αiso [in TypeTheory.ALV1.RelativeUniverses]


S

SIP.C [in TypeTheory.Displayed_Cats.SIP]
SIP.H [in TypeTheory.Displayed_Cats.SIP]
SIP.Hcomp [in TypeTheory.Displayed_Cats.SIP]
SIP.Hid [in TypeTheory.Displayed_Cats.SIP]
SIP.Hisprop [in TypeTheory.Displayed_Cats.SIP]
SIP.Hstandard [in TypeTheory.Displayed_Cats.SIP]
SIP.P [in TypeTheory.Displayed_Cats.SIP]
SIP.Pisset [in TypeTheory.Displayed_Cats.SIP]
SIP.univC [in TypeTheory.Displayed_Cats.SIP]
struct_hom.Hcomp [in TypeTheory.Displayed_Cats.Constructions]
struct_hom.Hid [in TypeTheory.Displayed_Cats.Constructions]
struct_hom.Hisprop [in TypeTheory.Displayed_Cats.Constructions]
struct_hom.H [in TypeTheory.Displayed_Cats.Constructions]
struct_hom.P [in TypeTheory.Displayed_Cats.Constructions]
struct_hom.univC [in TypeTheory.Displayed_Cats.Constructions]
struct_hom.C [in TypeTheory.Displayed_Cats.Constructions]


T

TypeCat_to_DM.C [in TypeTheory.OtherDefs.DM_to_TypeCat_to_DM]
TypeCat_to_DM.H [in TypeTheory.OtherDefs.DM_to_TypeCat_to_DM]
TypeCat_to_DM.CC [in TypeTheory.OtherDefs.DM_to_TypeCat_to_DM]
TypeCat_to_DM.C [in TypeTheory.OtherDefs.TypeCat_to_DM]
TypeCat_to_DM.H [in TypeTheory.OtherDefs.TypeCat_to_DM]
TypeCat_to_DM.CC [in TypeTheory.OtherDefs.TypeCat_to_DM]



Library Index

A

ALV_2017
Auxiliary
Auxiliary


C

CategoryTheoryImports
category_FAM
category_of_elements
Codomain
ComprehensionC
Constructions
Core
CwF_Pitts_completion
CwF_def
CwF_Pitts_to_DM
CwF_Pitts
CwF_SplitTypeCat_Equiv_Comparison
CwF_SplitTypeCat_Equivalence
CwF_Pitts_to_TypeCat_to_DM
CwF_SplitTypeCat_Defs
CwF_Pitts_to_TypeCat
CwF_Defs_Equiv
CwF_Dybjer
CwF_SplitTypeCat_Maps
CwF_SplitTypeCat_Equiv_Cats
CwF_SplitTypeCat_Cats
CwF_SplitTypeCat_Cats_Standalone
CwF_1
CwF_SplitTypeCat_Univalent_Cats


D

DisplayedCatFromCwDM
DM
DM_to_TypeCat_to_DM
DM_to_TypeCat


E

Equivalences
Equivalences_bis
ess_and_gen_alg_cats
ess_alg_categories
Examples


F

Fibrations


L

Limits


P

Presheaves


R

RelativeUniverses
RelUnivYonedaCompletion
RepMaps


S

SIP


T

Transport_along_Equivs
TypeCat
TypeCat_to_CwF_Pitts
TypeCat_to_DM
TypeCat_Reassoc


U

UnicodeNotations



Lemma Index

A

arrow_axioms [in TypeTheory.Displayed_Cats.Examples]


B

base_paths_subst_type_pair_p [in TypeTheory.Instances.Presheaves]
base_paths_subst_type_comp [in TypeTheory.Instances.Presheaves]
base_paths_subst_type_id [in TypeTheory.Instances.Presheaves]
bla [in TypeTheory.Categories.category_of_elements]


C

cancel_precomposition_iso [in TypeTheory.Displayed_Cats.Core]
cancel_precomposition_disp [in TypeTheory.Displayed_Cats.Core]
cancel_postcomposition_disp [in TypeTheory.Displayed_Cats.Core]
canonical_TM_to_given_te [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
canonical_TM_to_given_pointwise_iso [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
canonical_to_given_to_canonical [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
canonical_TM_to_given_paths_adjoint [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
cartesian_functor_from_cleaving [in TypeTheory.Displayed_Cats.ComprehensionC]
cartesian_functor_from_fibration [in TypeTheory.Displayed_Cats.ComprehensionC]
cod_disp_axioms [in TypeTheory.Displayed_Cats.Codomain]
commutes_and_is_pullback_transfer_iso [in TypeTheory.Auxiliary.Auxiliary]
commuting_square_transfer_iso [in TypeTheory.Auxiliary.Auxiliary]
compare_term_qq_equivs [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Comparison]
compatible_qq_morphism_structure_equals_canonical [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
compatible_term_structure_equals_canonical [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
compat_structures_pr2_fully_faithful [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
compat_structures_pr2_split_ess_surj [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
compat_structures_pr1_fully_faithful [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
compat_structures_pr1_split_ess_surj [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
compat_structures_pr2_is_equiv_over_id [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr2_ff [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr2_ess_split [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_is_equiv_over_id [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_ff [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_ess_split [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr2_fully_faithful [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr2_ess_surj [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_fully_faithful [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_ess_surj [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
comprehension_of_dm_structure_triangle_commutes [in TypeTheory.Displayed_Cats.ComprehensionC]
comp_law_4_of_typecat [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
comp_law_3_of_typecat [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
comp_laws_1_2_of_typecat [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
comp_ext_compare_qq_general [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_Q [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_comp_general [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_π [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_inv [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_comp [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_id_general [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_id [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext_compare_te [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
continuous_comp [in TypeTheory.Displayed_Cats.Examples]
cwf_repmap_diagram [in TypeTheory.ALV1.RepMaps]
cwf_natural_rep_map_def [in TypeTheory.ALV1.RepMaps]
cwf_laws_of_typecat [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
cwf_square_comm_converse [in TypeTheory.ALV1.CwF_def]
cwf_square_comm [in TypeTheory.ALV1.CwF_def]


D

disp_nat_trans_assoc [in TypeTheory.Displayed_Cats.Constructions]
disp_nat_trans_id_right [in TypeTheory.Displayed_Cats.Constructions]
disp_nat_trans_id_left [in TypeTheory.Displayed_Cats.Constructions]
disp_mor_unique_disc_fib [in TypeTheory.Displayed_Cats.Fibrations]
disp_nat_trans_ax_var [in TypeTheory.Displayed_Cats.Core]
disp_functor_ff_inv_compose [in TypeTheory.Displayed_Cats.Core]
disp_functor_ff_inv_identity [in TypeTheory.Displayed_Cats.Core]
disp_functor_ff_inv_transportf [in TypeTheory.Displayed_Cats.Core]
disp_functor_on_iso_disp_aux2 [in TypeTheory.Displayed_Cats.Core]
disp_functor_on_iso_disp_aux1 [in TypeTheory.Displayed_Cats.Core]
disp_functor_composite_axioms [in TypeTheory.Displayed_Cats.Core]
disp_functor_transportf [in TypeTheory.Displayed_Cats.Core]
DM_to_TypeCat_to_DM [in TypeTheory.OtherDefs.DM_to_TypeCat_to_DM]
dm_sub_closed_under_iso_of_TypeCat [in TypeTheory.OtherDefs.TypeCat_to_DM]
DM_disp_axioms [in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
dm_sub_closed_under_iso_of_CwF [in TypeTheory.OtherDefs.CwF_Pitts_to_DM]


E

elements_axioms [in TypeTheory.Displayed_Cats.Examples]
elements_id_comp [in TypeTheory.Displayed_Cats.Examples]
equiv_of_types_equal_direct_constr [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
eqweqmap_not [in TypeTheory.Categories.category_FAM]
eq_equiv_from_retraction [in TypeTheory.Auxiliary.Auxiliary]
eq_idto1_idto2 [in TypeTheory.Displayed_Cats.Constructions]
eq_weq [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Comparison]
eq_discrete_fib_mor [in TypeTheory.Displayed_Cats.Fibrations]
eq_exists_unique [in TypeTheory.Displayed_Cats.Fibrations]
eq_iso_disp [in TypeTheory.Displayed_Cats.Core]
ess_alg_cat_axioms_from_gen_alg [in TypeTheory.Categories.ess_and_gen_alg_cats]


F

faithful_pr1_category [in TypeTheory.Displayed_Cats.Core]
FAM_is_univalent [in TypeTheory.Categories.category_FAM]
FAM_obj_weq_idpath [in TypeTheory.Categories.category_FAM]
FAM_obj_weq_5_id [in TypeTheory.Categories.category_FAM]
FAM_obj_weq_4_id [in TypeTheory.Categories.category_FAM]
FAM_obj_weq_3_id [in TypeTheory.Categories.category_FAM]
FAM_obj_weq_2_id [in TypeTheory.Categories.category_FAM]
FAM_obj_weq_1_id [in TypeTheory.Categories.category_FAM]
FAM_obj_weq_5 [in TypeTheory.Categories.category_FAM]
FAM_obj_weq_4 [in TypeTheory.Categories.category_FAM]
FAM_is_iso_weq [in TypeTheory.Categories.category_FAM]
FAM_is_iso_from_is_iso [in TypeTheory.Categories.category_FAM]
FAM_obj_weq_3 [in TypeTheory.Categories.category_FAM]
FAM_obj_weq_2 [in TypeTheory.Categories.category_FAM]
FFinv_transportf [in TypeTheory.Displayed_Cats.Equivalences_bis]
FFinv_transportf [in TypeTheory.Displayed_Cats.Equivalences]
ff_reflects_pullbacks [in TypeTheory.Auxiliary.Auxiliary]
fibers_inhab_if_pr1_issurjective [in TypeTheory.Auxiliary.Auxiliary]
fiber_functor_ff [in TypeTheory.Displayed_Cats.Constructions]
fiber_is_precategory [in TypeTheory.Displayed_Cats.Constructions]
foo [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
foo [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
foo [in TypeTheory.Displayed_Cats.Constructions]
foo [in TypeTheory.Categories.category_of_elements]
foo2 [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
forall_isotid [in TypeTheory.Auxiliary.Auxiliary]
forms_equivalence_disc_fib [in TypeTheory.Displayed_Cats.Fibrations]
form_adjunction_ff_split [in TypeTheory.Auxiliary.Auxiliary]
form_adjunction_inv [in TypeTheory.Auxiliary.Auxiliary]
form_adjunction_comp [in TypeTheory.Auxiliary.Auxiliary]
form_equiv_inv_adjunction_data [in TypeTheory.Displayed_Cats.Equivalences]
form_equiv_GGεη [in TypeTheory.Displayed_Cats.Equivalences]
fully_faithful_impl_ff_on_isos [in TypeTheory.Auxiliary.Auxiliary]
full_from_ff [in TypeTheory.Auxiliary.Auxiliary]
full_from_split_full [in TypeTheory.Auxiliary.Auxiliary]
full_pr1_category [in TypeTheory.Displayed_Cats.Core]
functor_is_iso_is_iso [in TypeTheory.Auxiliary.Auxiliary]
funextsec_idpath [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
funextsec_idpath [in TypeTheory.Categories.category_FAM]


G

GG_ax [in TypeTheory.Displayed_Cats.Equivalences]
given_TM_to_canonical_te [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
given_to_canonical_to_given [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]


H

has_homsets_compat_structures_precategory [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
has_homsets_qq_structure_precategory [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
has_homsets_term_fun_precategory [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
has_homsets_term_fun_precat [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
has_homsets_FAM [in TypeTheory.Categories.category_FAM]
has_homsets_fiber_category [in TypeTheory.Displayed_Cats.Constructions]
has_homsets_precat_of_discrete_fibs [in TypeTheory.Displayed_Cats.Fibrations]
has_homsets_preShv [in TypeTheory.ALV1.CwF_def]
hom_eq [in TypeTheory.Categories.ess_and_gen_alg_cats]


I

idtoiso_dpr_typecat [in TypeTheory.ALV1.TypeCat]
idtoiso_postcompose_idtoiso_pre [in TypeTheory.Auxiliary.Auxiliary]
idtoiso_eq_idpath [in TypeTheory.Auxiliary.Auxiliary]
idtoiso_concat_pr [in TypeTheory.Auxiliary.Auxiliary]
idtoiso_transportf_family_of_morphisms [in TypeTheory.Auxiliary.Auxiliary]
idtoiso_iso_to_TM_eq [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
idtoiso_q_typecat [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
idtoiso_iso_disp_to_TM_eq [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
idtoiso_fiber_disp [in TypeTheory.Displayed_Cats.Core]
idtoiso_disp [in TypeTheory.Displayed_Cats.Core]
idtomor_right [in TypeTheory.Categories.ess_and_gen_alg_cats]
idtomor_left [in TypeTheory.Categories.ess_and_gen_alg_cats]
id_comp_right [in TypeTheory.Categories.ess_alg_categories]
id_comp_left [in TypeTheory.Categories.ess_alg_categories]
id_left_disp_var [in TypeTheory.Displayed_Cats.Core]
invmap_eq [in TypeTheory.Auxiliary.Auxiliary]
inv_from_iso_iso_from_fully_faithful_reflection [in TypeTheory.Auxiliary.Auxiliary]
inv_from_iso_from_is_z_iso [in TypeTheory.Auxiliary.Auxiliary]
inv_triangle_2_statement_over_id [in TypeTheory.Displayed_Cats.Equivalences]
inv_triangle_1_statement_over_id [in TypeTheory.Displayed_Cats.Equivalences]
inv_ax [in TypeTheory.Displayed_Cats.Equivalences]
inv_mor_total_iso [in TypeTheory.Displayed_Cats.Core]
inv1 [in TypeTheory.Auxiliary.Auxiliary]
inv2 [in TypeTheory.Auxiliary.Auxiliary]
isaprop_is_split_typecat [in TypeTheory.ALV1.TypeCat]
isaprop_ess_alg_cat_axioms [in TypeTheory.Categories.ess_alg_categories]
isaprop_is_representable [in TypeTheory.ALV1.RepMaps]
isaprop_fiber_if_isinclpr1 [in TypeTheory.Auxiliary.Auxiliary]
isaprop_iso_qq_morphism_structure [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
isaprop_qq_structure_mor [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
isaprop_term_fun_mor [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
isaprop_iso_disp_strucs_compat_disp_cat [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
isaprop_iso_disp_qq_morphism_structure [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
isaprop_whatever [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
isaprop_FAM_is_iso [in TypeTheory.Categories.category_FAM]
isaprop_qq_morphism_axioms [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
isaprop_term_fun_structure_axioms [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
isaprop_disc_fib_hom [in TypeTheory.Displayed_Cats.Fibrations]
isaprop_continuous [in TypeTheory.Displayed_Cats.Examples]
isaprop_is_cartesian [in TypeTheory.Displayed_Cats.ComprehensionC]
isaprop_rel_universe_structure [in TypeTheory.ALV1.RelativeUniverses]
isaprop_fpullback [in TypeTheory.ALV1.RelativeUniverses]
isaprop_fpullback_prop [in TypeTheory.ALV1.RelativeUniverses]
isaprop_iscompatible_term_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
isaprop_cwf_representation [in TypeTheory.ALV1.CwF_def]
isaprop_cwf_fiber_representation [in TypeTheory.ALV1.CwF_def]
isaprop_cwf_fiber_representation' [in TypeTheory.ALV1.CwF_def]
isaprop_qq_structure_mor [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
isaprop_term_fun_mor [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
isaprop_disp_nat_trans_axioms [in TypeTheory.Displayed_Cats.Core]
isaprop_disp_functor_axioms [in TypeTheory.Displayed_Cats.Core]
isaprop_is_iso_disp [in TypeTheory.Displayed_Cats.Core]
isaprop_disp_cat_axioms [in TypeTheory.Displayed_Cats.Core]
isaset_qq_morphism_structure [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
isaset_qq_morphism_structure [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
isaset_disp_nat_trans [in TypeTheory.Displayed_Cats.Constructions]
isaset_functor_alg_ob [in TypeTheory.Displayed_Cats.Examples]
isaset_tm_from_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
isaset_iso_disp [in TypeTheory.Displayed_Cats.Core]
iscompatible_qq_from_term [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
iscompatible'_qq_from_term [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
iscontr_compatible_split_comp_structure [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
iscontr_compatible_term_structure [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
iso_from_iso_with_postcomp [in TypeTheory.Auxiliary.Auxiliary]
iso_disp_iso_fiber [in TypeTheory.Displayed_Cats.Constructions]
iso_in_HSET [in TypeTheory.Categories.category_of_elements]
iso_disp_postcomp [in TypeTheory.Displayed_Cats.Core]
iso_disp_precomp [in TypeTheory.Displayed_Cats.Core]
isPb_morphism_equal [in TypeTheory.Auxiliary.Auxiliary]
isPredicate_cwf_laws [in TypeTheory.OtherDefs.CwF_Pitts]
isPredicate_cwf_laws [in TypeTheory.OtherDefs.CwF_1]
isPullback_preShv_to_pointwise [in TypeTheory.Auxiliary.Auxiliary]
isPullback_HSET [in TypeTheory.Auxiliary.Auxiliary]
isPullback_indepdent_of_path [in TypeTheory.Auxiliary.Auxiliary]
isPullback_transfer_iso [in TypeTheory.Auxiliary.Auxiliary]
isPullback_q_gen_mor [in TypeTheory.Instances.Presheaves]
isPullback_Yo_of_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
isPullback_Q_pp_from_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
issurjective_bandfmap [in TypeTheory.Auxiliary.Auxiliary]
issurjective_hinhpr [in TypeTheory.Auxiliary.Auxiliary]
isweqpathscomp0l [in TypeTheory.Categories.category_FAM]
is_symmetric'_isPullback [in TypeTheory.Auxiliary.Auxiliary]
is_nat_trans_η_ff_split [in TypeTheory.Auxiliary.Auxiliary]
is_iso_comp_is_iso [in TypeTheory.Auxiliary.Auxiliary]
is_univalent_qq_morphism [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
is_univalent_term_fun_structure [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
is_precategory_precategory_data_from_ess_alg_cat [in TypeTheory.Categories.ess_and_gen_alg_cats]
is_equiv_from_ff_ess_over_id [in TypeTheory.Displayed_Cats.Equivalences]
is_univalent_strucs_compat [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
is_univalent_qq_morphism [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
is_univalent_term_fun_structure [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
is_univalent_obj_ext [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
is_iso_from_FAM_is_iso [in TypeTheory.Categories.category_FAM]
is_precategory_FAM [in TypeTheory.Categories.category_FAM]
is_functor_fiber_functor [in TypeTheory.Displayed_Cats.Constructions]
is_univalent_disp_from_is_univalent_fiber [in TypeTheory.Displayed_Cats.Constructions]
is_univalent_fiber [in TypeTheory.Displayed_Cats.Constructions]
is_univalent_fiber_cat [in TypeTheory.Displayed_Cats.Constructions]
is_disp_nat_trans_pointwise_inv [in TypeTheory.Displayed_Cats.Constructions]
is_iso_sigma_disp [in TypeTheory.Displayed_Cats.Constructions]
is_iso_sigma_disp_aux2 [in TypeTheory.Displayed_Cats.Constructions]
is_fibration_DM_disp [in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
is_left_adjoint_subst_functor [in TypeTheory.Instances.Presheaves]
is_split_fibration_from_discrete_fibration [in TypeTheory.Displayed_Cats.Fibrations]
is_isofibration_from_is_fibration [in TypeTheory.Displayed_Cats.Fibrations]
is_iso_from_is_cartesian [in TypeTheory.Displayed_Cats.Fibrations]
is_isofibration_iff_is_op_isofibration [in TypeTheory.Displayed_Cats.Fibrations]
is_univalent_preShv [in TypeTheory.ALV1.RelUnivYonedaCompletion]
is_univalent_disp_functor_alg [in TypeTheory.Displayed_Cats.Examples]
is_lim_comp [in TypeTheory.Displayed_Cats.Examples]
is_univalent_preShv [in TypeTheory.ALV1.Transport_along_Equivs]
is_cartesian_comprehension_of_dm_structure [in TypeTheory.Displayed_Cats.ComprehensionC]
is_cartesian_from_iso_to_cartesian [in TypeTheory.Displayed_Cats.ComprehensionC]
is_type_saturated_type_cat_from_DM [in TypeTheory.OtherDefs.DM_to_TypeCat]
is_pullback_reindx_cwf [in TypeTheory.OtherDefs.CwF_Pitts]
is_universe_transfer [in TypeTheory.ALV1.RelativeUniverses]
is_nat_trans_canonical_TM_to_given [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
is_split_qq_from_term [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
is_nat_trans_pp_from_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
is_functor_tm_from_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
is_groupoid_path_groupoid [in TypeTheory.Displayed_Cats.Auxiliary]
is_groupoid_functor_cat [in TypeTheory.Displayed_Cats.Auxiliary]
is_univalent_disp_from_SIP_data [in TypeTheory.Displayed_Cats.SIP]
is_functor_proj [in TypeTheory.Categories.category_of_elements]
is_precategory_precategory_of_elements [in TypeTheory.Categories.category_of_elements]
is_univalent_total_category [in TypeTheory.Displayed_Cats.Core]
is_univalent_disp_from_fibers [in TypeTheory.Displayed_Cats.Core]
is_iso_disp_independent_of_is_iso [in TypeTheory.Displayed_Cats.Core]
is_iso_disp_transportf [in TypeTheory.Displayed_Cats.Core]
is_pullback_reindx_cwf [in TypeTheory.OtherDefs.CwF_1]


M

maponpaths_eq_idpath [in TypeTheory.Auxiliary.Auxiliary]
maponpaths_apply [in TypeTheory.Auxiliary.Auxiliary]
maps_equal [in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat_to_DM]
map_into_Pb_unique [in TypeTheory.Auxiliary.Auxiliary]
map_to_comp_as_pair_precwf [in TypeTheory.OtherDefs.CwF_Pitts]
map_from_term_recover [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
map_to_comp_as_pair_precwf [in TypeTheory.OtherDefs.CwF_1]
mere_fpullback_transfer [in TypeTheory.ALV1.RelativeUniverses]
Morphism_of_presheaves_transfer_recover [in TypeTheory.ALV1.CwF_def]
mor_disp_transportf_prewhisker [in TypeTheory.Displayed_Cats.Core]
mor_disp_transportf_postwhisker [in TypeTheory.Displayed_Cats.Core]


N

NAction_axioms [in TypeTheory.Displayed_Cats.Examples]


O

obj_ext_mor_φ_eq [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
obj_ext_mor_TY_eq [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
obj_ext_mor_eq' [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_mor_eq [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
opp_iso_inv_opp_iso [in TypeTheory.OtherDefs.CwF_Pitts_completion]
opp_iso_opp_iso_inv [in TypeTheory.OtherDefs.CwF_Pitts_completion]


P

pairing_mapeq_gen [in TypeTheory.OtherDefs.CwF_Pitts]
pairing_mapeq [in TypeTheory.OtherDefs.CwF_Pitts]
pairing_mapeq_gen [in TypeTheory.OtherDefs.CwF_1]
pairing_mapeq [in TypeTheory.OtherDefs.CwF_1]
pair_inj [in TypeTheory.Displayed_Cats.Fibrations]
pathscomp0_dep [in TypeTheory.Displayed_Cats.Auxiliary]
pathscomp0_disp [in TypeTheory.Displayed_Cats.Core]
postcomp_pb_with_iso [in TypeTheory.Auxiliary.Auxiliary]
postwhisker_isotoid [in TypeTheory.Auxiliary.Auxiliary]
postwhisker_iso_to_TM_eq [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
postwhisker_iso_disp_to_TM_eq [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
pp_given_TM_to_canonical [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
pp_canonical_TM_to_given [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
preserves_pullbacks_ext [in TypeTheory.ALV1.Transport_along_Equivs]
PreShv_reindx_laws [in TypeTheory.Instances.Presheaves]
PreShv_reindx_structure [in TypeTheory.Instances.Presheaves]
prewhisker_iso_to_TM_eq [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
prewhisker_iso_disp_to_TM_eq [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
pr1_transportf [in TypeTheory.Auxiliary.Auxiliary]
pr1_issurjective' [in TypeTheory.Auxiliary.Auxiliary]
pr1_transportf_sigma_disp [in TypeTheory.Displayed_Cats.Constructions]
pr1_preserves_limit [in TypeTheory.Displayed_Cats.Limits]
pr1_category_is_functor [in TypeTheory.Displayed_Cats.Core]
pr2_transportf_sigma_disp [in TypeTheory.Displayed_Cats.Constructions]
pr2_tm_from_qq_paths [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
pr2_transportf [in TypeTheory.Displayed_Cats.Auxiliary]
pullback_HSET_elements_unique [in TypeTheory.Auxiliary.Auxiliary]
pullback_HSET_univprop_elements [in TypeTheory.Auxiliary.Auxiliary]


Q

qq_structure_eq [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_from_term_mor_unique [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_from_term_mor [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_from_term_ob [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_structure_eq [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
qq_comp_general [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_π_Pb [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_π [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_compat_implies_eq [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Comparison]
qq_from_term_mor_unique [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
qq_from_term_mor [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
qq_from_term_ob [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
qq_commutes_1 [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Q_comp_ext_compare [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
q_gen_mor_p [in TypeTheory.Instances.Presheaves]
Q_from_qq_reconstruction [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]


R

RC_morphism_of_presheaves_recover [in TypeTheory.ALV1.CwF_def]
reindx_law_1_term_of_typecat [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
reindx_laws_type_of_typecat [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
reindx_term_comp' [in TypeTheory.OtherDefs.CwF_Pitts]
reindx_term_comp' [in TypeTheory.OtherDefs.CwF_1]
retype_term_pi [in TypeTheory.OtherDefs.CwF_Pitts]
retype_term_pi [in TypeTheory.OtherDefs.CwF_1]
right_adj_equiv_is_full [in TypeTheory.Auxiliary.Auxiliary]
right_adj_equiv_is_ess_sur [in TypeTheory.Auxiliary.Auxiliary]
right_adj_equiv_is_ff [in TypeTheory.Auxiliary.Auxiliary]
rterm_univ [in TypeTheory.OtherDefs.CwF_Pitts]
rterm_mapeq [in TypeTheory.OtherDefs.CwF_Pitts]
rterm_typeeq [in TypeTheory.OtherDefs.CwF_Pitts]
rterm_univ [in TypeTheory.OtherDefs.CwF_1]
rterm_mapeq [in TypeTheory.OtherDefs.CwF_1]
rterm_typeeq [in TypeTheory.OtherDefs.CwF_1]


S

section_eq_from_tm_from_qq_eq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
sigma_disp_iso_isweq [in TypeTheory.Displayed_Cats.Constructions]
split_full_from_ff [in TypeTheory.Auxiliary.Auxiliary]
square_commutes_preShv_to_pointwise [in TypeTheory.Auxiliary.Auxiliary]
square_morphism_equal [in TypeTheory.Auxiliary.Auxiliary]
subst_pair_id [in TypeTheory.Instances.Presheaves]
subst_pair_subst [in TypeTheory.Instances.Presheaves]
subst_pair_q [in TypeTheory.Instances.Presheaves]
subst_type_pair_p [in TypeTheory.Instances.Presheaves]
subst_pair_p [in TypeTheory.Instances.Presheaves]
subst_term_comp [in TypeTheory.Instances.Presheaves]
subst_term_id [in TypeTheory.Instances.Presheaves]
subst_term_prf [in TypeTheory.Instances.Presheaves]
subst_type_comp [in TypeTheory.Instances.Presheaves]
subst_type_id [in TypeTheory.Instances.Presheaves]


T

TermInSection_to_TermIn [in TypeTheory.Instances.Presheaves]
TermIn_to_TermInSection [in TypeTheory.Instances.Presheaves]
TermIn_eq [in TypeTheory.Instances.Presheaves]
term_from_qq_mor_unique [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_from_qq_mor [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_from_qq_mor [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_from_qq_ob [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_mor_recover_term [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_to_section_naturality [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_mor_eq [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_to_section_recover [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_to_section [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_to_section_aux [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_fun_str_square_comm [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_from_qq_mor_unique [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
term_from_qq_mor [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
term_from_qq_mor [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
term_from_qq_ob [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
term_typeeq_transport_lemma_2 [in TypeTheory.OtherDefs.CwF_Pitts]
term_typeeq_transport_lemma [in TypeTheory.OtherDefs.CwF_Pitts]
term_fun_mor_transportf [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_mor_recover_term [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_to_section_naturality [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_mor_eq [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_typeeq_transport_lemma_2 [in TypeTheory.OtherDefs.CwF_1]
term_typeeq_transport_lemma [in TypeTheory.OtherDefs.CwF_1]
tm_from_qq_mor_te [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
tm_from_qq_mor_pp [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
tm_from_qq_mor_TM [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
tm_from_qq_mor_naturality [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
tm_from_qq_mor_data [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
tm_from_qq_mor_te [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
tm_from_qq_mor_pp [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
tm_from_qq_mor_TM [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
tm_from_qq_mor_naturality [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
tm_from_qq_mor_data [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
tm_from_qq_eq_reindex [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
tm_from_qq_eq' [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
tm_from_qq_eq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Tm_Rezk_completion_recover [in TypeTheory.ALV1.CwF_def]
Tm_transfer_recover [in TypeTheory.ALV1.CwF_def]
total_category_has_homsets [in TypeTheory.Displayed_Cats.Core]
total_category_is_precat [in TypeTheory.Displayed_Cats.Core]
total2_reassoc_paths' [in TypeTheory.Displayed_Cats.Constructions]
total2_reassoc_paths [in TypeTheory.Displayed_Cats.Constructions]
transportf_reind_typecat' [in TypeTheory.ALV1.TypeCat]
transportf_reind_typecat [in TypeTheory.ALV1.TypeCat]
transportf_dpr_typecat [in TypeTheory.ALV1.TypeCat]
transportf_isotoid_pshf [in TypeTheory.Auxiliary.Auxiliary]
transportf_pshf [in TypeTheory.Auxiliary.Auxiliary]
transportf_isotoid_functor [in TypeTheory.Auxiliary.Auxiliary]
transportf_yy [in TypeTheory.Auxiliary.Auxiliary]
transportf_ext [in TypeTheory.Auxiliary.Auxiliary]
transportf_pair [in TypeTheory.Auxiliary.Auxiliary]
transportf_comp_lemma_hset [in TypeTheory.Auxiliary.Auxiliary]
transportf_comp_lemma [in TypeTheory.Auxiliary.Auxiliary]
transportf_forall [in TypeTheory.Auxiliary.Auxiliary]
transportf_const [in TypeTheory.Auxiliary.Auxiliary]
transportf_term_fun_mor_TM [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
transportf_comp [in TypeTheory.Categories.category_FAM]
transportf_toforallpaths [in TypeTheory.Categories.category_FAM]
transportf_weqtopaths [in TypeTheory.Categories.category_FAM]
transportf_eqweqmap [in TypeTheory.Categories.category_FAM]
transportf_pathsinv0_var [in TypeTheory.Displayed_Cats.Constructions]
transportf_subst_type0 [in TypeTheory.Instances.Presheaves]
transportf_TypeIn [in TypeTheory.Instances.Presheaves]
transportf_term [in TypeTheory.Instances.Presheaves]
transportf_maponpaths [in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat]
transportf_rtype_mapeq [in TypeTheory.OtherDefs.CwF_Pitts]
transportf_bind [in TypeTheory.Displayed_Cats.Auxiliary]
transportf_transpose [in TypeTheory.Displayed_Cats.Auxiliary]
transportf_precompose_disp [in TypeTheory.Displayed_Cats.Core]
transportf_iso_disp [in TypeTheory.Displayed_Cats.Core]
transportf_rtype_mapeq [in TypeTheory.OtherDefs.CwF_1]
triangle_1_from_2_for_equiv_over_id [in TypeTheory.Displayed_Cats.Equivalences_bis]
triangle_2_from_1_for_equiv_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
triangle_1_from_2_for_equiv_over_id [in TypeTheory.Displayed_Cats.Equivalences]
triangle_2_from_1_for_equiv_over_id [in TypeTheory.Displayed_Cats.Equivalences]
tri_2_GGεη [in TypeTheory.Displayed_Cats.Equivalences]
tri_1_GGεη [in TypeTheory.Displayed_Cats.Equivalences]
Ty_Rezk_completion_recover [in TypeTheory.ALV1.CwF_def]
Ty_transfer_recover [in TypeTheory.ALV1.CwF_def]


U

univalent_disp_cat_has_groupoid_obs [in TypeTheory.Displayed_Cats.Core]


W

weqhomot [in TypeTheory.Auxiliary.Auxiliary]
weqtotal2asstol' [in TypeTheory.Auxiliary.Auxiliary]
weqtotal2asstor' [in TypeTheory.Auxiliary.Auxiliary]
weq_is_representable_is_universe_relative [in TypeTheory.ALV1.RepMaps]
weq_reassoc_direct [in TypeTheory.ALV1.TypeCat_Reassoc]
weq_relative_universe_weak_relative_universe [in TypeTheory.ALV1.RelativeUniverses]
weq_subtypes_iff [in TypeTheory.Displayed_Cats.Auxiliary]
weq_subtypes' [in TypeTheory.Displayed_Cats.Auxiliary]
weq_cwf_representation_rel_universe_structure [in TypeTheory.ALV1.CwF_def]


Y

Yo_qq_term_Yo_of_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Yo_of_qq_commutes_2 [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Yo_of_qq_commutes_1 [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
yy_comp_nat_trans [in TypeTheory.Auxiliary.Auxiliary]
yy_natural [in TypeTheory.Auxiliary.Auxiliary]


other

Δ_φ [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
ε_ses_ff_ax [in TypeTheory.Displayed_Cats.Equivalences]



Projection Index

R

Record_Preview.reind_pb [in TypeTheory.ALV1.TypeCat]
Record_Preview.dpr_q [in TypeTheory.ALV1.TypeCat]
Record_Preview.q [in TypeTheory.ALV1.TypeCat]
Record_Preview.reind [in TypeTheory.ALV1.TypeCat]
Record_Preview.dpr [in TypeTheory.ALV1.TypeCat]
Record_Preview.ext [in TypeTheory.ALV1.TypeCat]
Record_Preview.ty [in TypeTheory.ALV1.TypeCat]
Record_Preview.C [in TypeTheory.ALV1.TypeCat]
Record_Preview.isPullback_of_DM [in TypeTheory.OtherDefs.DM]
Record_Preview.sqr_comm_of_DM [in TypeTheory.OtherDefs.DM]
Record_Preview.pb_arrow_of_arrow [in TypeTheory.OtherDefs.DM]
Record_Preview.pb_DM_of_DM [in TypeTheory.OtherDefs.DM]
Record_Preview.pb [in TypeTheory.OtherDefs.DM]
Record_Preview.DM [in TypeTheory.OtherDefs.DM]
Record_Preview.C [in TypeTheory.OtherDefs.DM]
Record_Preview.pre_cwf_law_2 [in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.pre_cwf_law_1 [in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.pairing [in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.gen_element [in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.proj_mor [in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.comp_obj [in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.reindx_term_comp [in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.reindx_term_id [in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.reindx_type_comp [in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.reindx_type_id [in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.rterm [in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.rtype [in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.term [in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.type [in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.C [in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.univ_prop [in TypeTheory.OtherDefs.CwF_Dybjer]
Record_Preview.q [in TypeTheory.OtherDefs.CwF_Dybjer]
Record_Preview.proj_mor [in TypeTheory.OtherDefs.CwF_Dybjer]
Record_Preview.comp_obj [in TypeTheory.OtherDefs.CwF_Dybjer]
Record_Preview.T [in TypeTheory.OtherDefs.CwF_Dybjer]
Record_Preview.C [in TypeTheory.OtherDefs.CwF_Dybjer]
Record_Preview.homsets_disp [in TypeTheory.Displayed_Cats.Core]
Record_Preview.assoc_disp [in TypeTheory.Displayed_Cats.Core]
Record_Preview.id_right_disp [in TypeTheory.Displayed_Cats.Core]
Record_Preview.id_left_disp [in TypeTheory.Displayed_Cats.Core]
Record_Preview.comp_disp [in TypeTheory.Displayed_Cats.Core]
Record_Preview.id_disp [in TypeTheory.Displayed_Cats.Core]
Record_Preview.mor_disp [in TypeTheory.Displayed_Cats.Core]
Record_Preview.ob_disp [in TypeTheory.Displayed_Cats.Core]



Section Index

A

about_equivalences [in TypeTheory.Auxiliary.Auxiliary]
access_functions [in TypeTheory.Categories.ess_alg_categories]
adjunction [in TypeTheory.Displayed_Cats.Equivalences_bis]
Adjunctions [in TypeTheory.Displayed_Cats.Equivalences_bis]
Adjunctions [in TypeTheory.Displayed_Cats.Equivalences]
Adjunctions.notation [in TypeTheory.Displayed_Cats.Equivalences_bis]
arrow [in TypeTheory.Displayed_Cats.Examples]
Arrow_Disp [in TypeTheory.Displayed_Cats.Examples]
Auxiliary [in TypeTheory.Displayed_Cats.Equivalences_bis]
Auxiliary [in TypeTheory.Displayed_Cats.Equivalences]
Auxiliary [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Auxiliary [in TypeTheory.Categories.category_FAM]
Auxiliary [in TypeTheory.Displayed_Cats.Constructions]
Auxiliary [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Comparison]
Auxiliary [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Auxiliary [in TypeTheory.ALV1.CwF_def]
Auxiliary [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
Auxiliary [in TypeTheory.Displayed_Cats.Limits]
axioms [in TypeTheory.Categories.ess_alg_categories]


C

cartesian_product [in TypeTheory.Displayed_Cats.Examples]
cartesian_product_pb [in TypeTheory.Displayed_Cats.Examples]
category_products [in TypeTheory.Displayed_Cats.Auxiliary]
category_of_elements_covariant [in TypeTheory.Categories.category_of_elements]
Codomain_Disp [in TypeTheory.Displayed_Cats.Codomain]
compare_maps [in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat_to_DM]
Comp_Cat_of_DM_Structure [in TypeTheory.Displayed_Cats.ComprehensionC]
creates_preserves [in TypeTheory.Displayed_Cats.Limits]
Creates_Limits [in TypeTheory.Displayed_Cats.Limits]
CwF [in TypeTheory.Instances.Presheaves]
CwF_completion [in TypeTheory.OtherDefs.CwF_Pitts_completion]
CwF_of_Comp [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
CwF_lemmas [in TypeTheory.OtherDefs.CwF_Pitts]
CwF_RC_recover [in TypeTheory.ALV1.CwF_def]
CwF_Ftransport_recover [in TypeTheory.ALV1.CwF_def]
CwF_RelUnivYo.Representation_FComprehension [in TypeTheory.ALV1.CwF_def]
CwF_RelUnivYo [in TypeTheory.ALV1.CwF_def]
CwF_Lemmas [in TypeTheory.ALV1.CwF_def]
CwF_lemmas [in TypeTheory.OtherDefs.CwF_1]


D

Dirprod [in TypeTheory.Displayed_Cats.Constructions]
Dirprod_utils [in TypeTheory.Displayed_Cats.Auxiliary]
Discrete_Fibrations.Equivalence_disc_fibs_presheaves [in TypeTheory.Displayed_Cats.Fibrations]
Discrete_Fibrations [in TypeTheory.Displayed_Cats.Fibrations]
Discrete_cats [in TypeTheory.Displayed_Cats.Auxiliary]
Displayed_Equiv_Compose [in TypeTheory.Displayed_Cats.Equivalences]
Displayed_Equiv_Inv [in TypeTheory.Displayed_Cats.Equivalences]
disp_adjunction.notation [in TypeTheory.Displayed_Cats.Equivalences]
disp_adjunction [in TypeTheory.Displayed_Cats.Equivalences]
Disp_Nat_Trans [in TypeTheory.Displayed_Cats.Core]
Disp_Functor.Total_Functors [in TypeTheory.Displayed_Cats.Core]
Disp_Functor.Functor_Properties.ff_reflects_isos [in TypeTheory.Displayed_Cats.Core]
Disp_Functor.Functor_Properties [in TypeTheory.Displayed_Cats.Core]
Disp_Functor.Functors_on_isos [in TypeTheory.Displayed_Cats.Core]
Disp_Functor [in TypeTheory.Displayed_Cats.Core]
Disp_Cat.Lemmas [in TypeTheory.Displayed_Cats.Core]
Disp_Cat [in TypeTheory.Displayed_Cats.Core]
DM_Disp.Displayed_Cat_of_Class_of_Maps [in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
DM_Disp [in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
DM_to_TypeCat [in TypeTheory.OtherDefs.DM_to_TypeCat]
DM_of_CwF [in TypeTheory.OtherDefs.CwF_Pitts_to_DM]


E

Elements_Disp [in TypeTheory.Displayed_Cats.Examples]
Equivalences [in TypeTheory.Displayed_Cats.Equivalences_bis]
Equivalences [in TypeTheory.Displayed_Cats.Equivalences]
Equiv_Fibers [in TypeTheory.Displayed_Cats.Equivalences_bis]
Equiv_from_ff_plus_ess_split [in TypeTheory.Displayed_Cats.Equivalences_bis]
Equiv_Fibers [in TypeTheory.Displayed_Cats.Equivalences]
Equiv_from_ff_plus_ess_split [in TypeTheory.Displayed_Cats.Equivalences]
eqv_from_ess_split_and_ff [in TypeTheory.Auxiliary.Auxiliary]
eqv_inv [in TypeTheory.Auxiliary.Auxiliary]
eqv_comp.adj_comp [in TypeTheory.Auxiliary.Auxiliary]
eqv_comp [in TypeTheory.Auxiliary.Auxiliary]
Essential_Surjectivity [in TypeTheory.Displayed_Cats.Equivalences_bis]
Essential_Surjectivity [in TypeTheory.Displayed_Cats.Equivalences]
ess_alg_from_gen_alg [in TypeTheory.Categories.ess_and_gen_alg_cats]


F

FAM [in TypeTheory.Categories.category_FAM]
Families_Structures [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
FAM.isos [in TypeTheory.Categories.category_FAM]
Fiber [in TypeTheory.Displayed_Cats.Constructions]
Fiber_Functors.fix_context [in TypeTheory.Displayed_Cats.Constructions]
Fiber_Functors [in TypeTheory.Displayed_Cats.Constructions]
Fibrations [in TypeTheory.Displayed_Cats.Fibrations]
Fix_Category [in TypeTheory.ALV1.RepMaps]
fix_cat_obj_ext.Is_Univalent_qq_Strucs [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.Is_Univalent_Families_Strucs [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.Strucs_Equiv_Precats [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.Unique_Term_From_QQ.Rename_me [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.Unique_Term_From_QQ [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.Unique_QQ_From_Term [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.Compatible_Disp_Cat [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.qq_Structure_Precat [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext.Term_Fun_Structure_Precat [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
fix_cat_obj_ext [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
Fix_Category.Standalone_to_Regrouped [in TypeTheory.ALV1.TypeCat_Reassoc]
Fix_Category.Structural_to_Regrouped [in TypeTheory.ALV1.TypeCat_Reassoc]
Fix_Category.Split_Type_Cat_as_Structural [in TypeTheory.ALV1.TypeCat_Reassoc]
Fix_Category [in TypeTheory.ALV1.TypeCat_Reassoc]
Fix_Context.Is_Univalent_Compat_Strucs [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Fix_Context.Is_Univalent_qq_Strucs [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Fix_Context.Is_Univalent_Families_Strucs [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Fix_Context.Is_Univalent_Obj_Ext_2 [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Fix_Context.Is_Univalent_Obj_Ext_1 [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Fix_Context [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Fix_Context.Compare_Equivs_of_Types [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Comparison]
Fix_Context.Equiv_of_Types_from_Cats [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Comparison]
Fix_Context [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Comparison]
fix_category [in TypeTheory.ALV1.RelUnivYonedaCompletion]
Fix_Context.Strucs_Fiber_Equiv [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Fix_Context.Strucs_Disp_Equiv [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Fix_Context.Strucs_Equiv_Precats [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Fix_Context.Unique_Term_From_QQ.Rename_me [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Fix_Context.Unique_Term_From_QQ [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Fix_Context.Unique_QQ_From_Term [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Fix_Context.Compatible_Disp_Cat [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Fix_Context [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
fix_category [in TypeTheory.ALV1.Transport_along_Equivs]
Fix_Context.Equivalence [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Fix_Context.compatible_structures.canonical_TM [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Fix_Context.compatible_structures [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Fix_Context [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Fix_Base_Category.compatible_comp_structure_from_term.qq_from_term [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_comp_structure_from_term [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_term_structure_from_qq.Tm_fun_axioms_from_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.compatible_term_structure_from_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category.Compatible_Structures [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Base_Category [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Fix_Category [in TypeTheory.ALV1.CwF_Defs_Equiv]
Fix_Category.Representation [in TypeTheory.ALV1.CwF_def]
Fix_Category [in TypeTheory.ALV1.CwF_def]
full_subcat [in TypeTheory.Displayed_Cats.Constructions]
Functor [in TypeTheory.Displayed_Cats.Constructions]
functor_algebras [in TypeTheory.Displayed_Cats.Examples]
Functor_Lifting [in TypeTheory.Displayed_Cats.Core]


G

gen_alg_from_ess_alg [in TypeTheory.Categories.ess_and_gen_alg_cats]
Groupoids [in TypeTheory.Displayed_Cats.Auxiliary]


I

Isofibrations [in TypeTheory.Displayed_Cats.Fibrations]
isofibration_from_disp_over_univalent [in TypeTheory.Displayed_Cats.Fibrations]
Isos [in TypeTheory.Displayed_Cats.Core]
Is_universe_relative_to_Transfer.fix_a_morphism.map_on_is_universe_relativ_to [in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer.fix_a_morphism [in TypeTheory.ALV1.RelativeUniverses]
Is_universe_relative_to_Transfer [in TypeTheory.ALV1.RelativeUniverses]


L

lemmas [in TypeTheory.ALV1.TypeCat]
lemmas [in TypeTheory.OtherDefs.DM]


M

Miscellaneous [in TypeTheory.Displayed_Cats.Auxiliary]
monad_algebras [in TypeTheory.Displayed_Cats.Examples]


N

NAction [in TypeTheory.Displayed_Cats.Examples]
Nat_Trans_Disp_Inv [in TypeTheory.Displayed_Cats.Equivalences]


O

Obj_Ext_Structures.Comp_Ext_Compare [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Obj_Ext_Structures [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Obj_Ext_Precat [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
on_pullbacks [in TypeTheory.Auxiliary.Auxiliary]
Opfibrations [in TypeTheory.Displayed_Cats.Fibrations]
over_terminal_category [in TypeTheory.Displayed_Cats.Examples]


P

Prelims [in TypeTheory.ALV1.TypeCat]
Prelims [in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat]
presheaves [in TypeTheory.Instances.Presheaves]
Pullbacks_hSet [in TypeTheory.Auxiliary.Auxiliary]
Pullbacks_Cartesian [in TypeTheory.Displayed_Cats.Codomain]
Pullback_Unique_Up_To_Iso [in TypeTheory.Auxiliary.Auxiliary]


Q

qq_Morphism_Structures [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_Structure_Precat [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]


R

Reindexing [in TypeTheory.Displayed_Cats.Core]
reindexing_disp_functor [in TypeTheory.Displayed_Cats.Core]
Relative_Comprehension_Lemmas [in TypeTheory.ALV1.RelativeUniverses]
Relative_Comprehension [in TypeTheory.ALV1.RelativeUniverses]
Rel_Univ_Structure_Transfer [in TypeTheory.ALV1.RelativeUniverses]
Representation_Facts.Representation_Regrouping [in TypeTheory.ALV1.CwF_def]
Representation_Facts [in TypeTheory.ALV1.CwF_def]


S

Sections [in TypeTheory.Displayed_Cats.Core]
Sigma [in TypeTheory.Displayed_Cats.Constructions]
SIP [in TypeTheory.Displayed_Cats.SIP]
Square_Transfers [in TypeTheory.Auxiliary.Auxiliary]
Structural_Reassoc [in TypeTheory.ALV1.TypeCat_Reassoc]
struct_hom [in TypeTheory.Displayed_Cats.Constructions]


T

Term_Fun_Structure_Precat [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
Total_Category [in TypeTheory.Displayed_Cats.Core]
TypeCat [in TypeTheory.Instances.Presheaves]
TypeCat_to_DM [in TypeTheory.OtherDefs.DM_to_TypeCat_to_DM]
TypeCat_to_DM [in TypeTheory.OtherDefs.TypeCat_to_DM]
TypePreCat_of_PreCwF [in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat]
Type_Precats.access_functions [in TypeTheory.ALV1.TypeCat]
Type_Precats [in TypeTheory.ALV1.TypeCat]


U

Univalent_Categories [in TypeTheory.Displayed_Cats.Core]
Unorganised [in TypeTheory.Auxiliary.Auxiliary]
Utilities [in TypeTheory.Displayed_Cats.Core]



Abbreviation Index

P

pp [in TypeTheory.ALV1.RelativeUniverses]


T

tU [in TypeTheory.ALV1.RelativeUniverses]


U

U [in TypeTheory.ALV1.RelativeUniverses]


Z

ZZ [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]


other

Δ [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
Δ [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
Δ [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
Δ [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
Δ [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Δ [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
π [in TypeTheory.Displayed_Cats.Limits]
φ [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
φ [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
φ [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
φ [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]



Definition Index

A

adjcounitiso [in TypeTheory.Displayed_Cats.Equivalences_bis]
adjcounitiso [in TypeTheory.Displayed_Cats.Equivalences]
adjunction [in TypeTheory.Displayed_Cats.Equivalences_bis]
adjunction [in TypeTheory.Displayed_Cats.Equivalences]
adjunction_of_equiv_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
adjunction_of_right_adjoint_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
adjunction_of_right_adjoint_over_data [in TypeTheory.Displayed_Cats.Equivalences_bis]
adjunction_of_equiv_over_id [in TypeTheory.Displayed_Cats.Equivalences]
adjunction_of_right_adjoint_over_id [in TypeTheory.Displayed_Cats.Equivalences]
adjunction_of_right_adjoint_over_id_data [in TypeTheory.Displayed_Cats.Equivalences]
adjunction_data_disc_fib [in TypeTheory.Displayed_Cats.Fibrations]
adjunitiso [in TypeTheory.Displayed_Cats.Equivalences_bis]
adjunitiso [in TypeTheory.Displayed_Cats.Equivalences]
adj_from_equiv [in TypeTheory.Auxiliary.Auxiliary]
adj_equivalence_of_precats_ff_split [in TypeTheory.Auxiliary.Auxiliary]
adj_equivalence_of_precats_inv [in TypeTheory.Auxiliary.Auxiliary]
adj_from_adj_equiv [in TypeTheory.Displayed_Cats.Equivalences_bis]
adj_equiv_of_precats_from_adj [in TypeTheory.Displayed_Cats.Equivalences_bis]
adj_equiv [in TypeTheory.Displayed_Cats.Equivalences_bis]
adj_over_data_from_adj_over [in TypeTheory.Displayed_Cats.Equivalences]
adj_equivalence_disc_fib [in TypeTheory.Displayed_Cats.Fibrations]
are_adjoints_from_adjunction [in TypeTheory.Displayed_Cats.Equivalences_bis]
are_adjoints_from_adjunction [in TypeTheory.Displayed_Cats.Equivalences]
arrow [in TypeTheory.Displayed_Cats.Examples]
arrow_from_DM [in TypeTheory.OtherDefs.DM]
arrow_disp [in TypeTheory.Displayed_Cats.Examples]
arrow_data [in TypeTheory.Displayed_Cats.Examples]
arrow_id_comp [in TypeTheory.Displayed_Cats.Examples]
arrow_disp_ob_mor [in TypeTheory.Displayed_Cats.Examples]
assoc [in TypeTheory.Categories.ess_alg_categories]
assoc_ax [in TypeTheory.Categories.ess_alg_categories]
assoc_disp_var [in TypeTheory.Displayed_Cats.Core]
assoc_disp [in TypeTheory.Displayed_Cats.Core]
axioms_of_equiv_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
axioms_of_equiv_over_id [in TypeTheory.Displayed_Cats.Equivalences]


B

bar [in TypeTheory.Displayed_Cats.Fibrations]


C

canonical_TM_to_given_iso [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
canonical_TM_to_given [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
canonical_TM_to_given_data [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
cartesian [in TypeTheory.Displayed_Cats.Examples]
cartesian_lifts_iso_commutes [in TypeTheory.Displayed_Cats.Fibrations]
cartesian_lifts_iso [in TypeTheory.Displayed_Cats.Fibrations]
cartesian_lift_is_cartesian [in TypeTheory.Displayed_Cats.Fibrations]
cartesian_lift [in TypeTheory.Displayed_Cats.Fibrations]
cartesian_factorisation_commutes' [in TypeTheory.Displayed_Cats.Fibrations]
cartesian_factorisation' [in TypeTheory.Displayed_Cats.Fibrations]
cartesian_factorisation_unique [in TypeTheory.Displayed_Cats.Fibrations]
cartesian_factorisation_commutes [in TypeTheory.Displayed_Cats.Fibrations]
cartesian_factorisation [in TypeTheory.Displayed_Cats.Fibrations]
cartesian_iff_isPullback [in TypeTheory.Displayed_Cats.Codomain]
cartesian_isPullback_in_cod_disp [in TypeTheory.Displayed_Cats.Codomain]
cleaving [in TypeTheory.Displayed_Cats.Fibrations]
cleaving_mor [in TypeTheory.Displayed_Cats.Fibrations]
cleaving_ob [in TypeTheory.Displayed_Cats.Fibrations]
cod_disp_data [in TypeTheory.Displayed_Cats.Codomain]
cod_id_comp [in TypeTheory.Displayed_Cats.Codomain]
cod_disp_ob_mor [in TypeTheory.Displayed_Cats.Codomain]
commutes_and_is_pullback [in TypeTheory.Auxiliary.Auxiliary]
comp [in TypeTheory.Categories.ess_alg_categories]
compatible_term_from_qq [in TypeTheory.Articles.ALV_2017]
compatible_qq_from_term [in TypeTheory.Articles.ALV_2017]
compatible_qq_from_term [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
compatible_term_from_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
compatible_qq_morphism_structure [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
compatible_term_structure [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
compat_structures_pr2_functor [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
compat_structures_pr1_functor [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
compat_structures_precategory [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
compat_structures_pr2_inverse_over_id [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr2_equiv_over_id [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_inverse_over_id [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_equiv_over_id [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr2_functor [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_functor [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_precat [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr2_disp_functor [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_pr1_disp_functor [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
compat_structures_disp_cat [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
composition [in TypeTheory.Categories.ess_and_gen_alg_cats]
composition_assoc [in TypeTheory.Categories.ess_and_gen_alg_cats]
comprehension_of_dm_structure [in TypeTheory.Displayed_Cats.ComprehensionC]
comprehension_of_dm_structure_axioms [in TypeTheory.Displayed_Cats.ComprehensionC]
comprehension_of_dm_structure_data [in TypeTheory.Displayed_Cats.ComprehensionC]
comprehension_cat_structure [in TypeTheory.Displayed_Cats.ComprehensionC]
comp_target [in TypeTheory.Categories.ess_alg_categories]
comp_source [in TypeTheory.Categories.ess_alg_categories]
comp_target_ax [in TypeTheory.Categories.ess_alg_categories]
comp_source_ax [in TypeTheory.Categories.ess_alg_categories]
comp_op [in TypeTheory.Categories.ess_alg_categories]
comp_adj_equivalence_of_precats [in TypeTheory.Auxiliary.Auxiliary]
comp_adjunction [in TypeTheory.Auxiliary.Auxiliary]
comp_2_struct_of_typecat [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
comp_1_struct_of_typecat [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
comp_ext_compare [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_ext [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
comp_cat_of_dm [in TypeTheory.Displayed_Cats.ComprehensionC]
comp_law_4 [in TypeTheory.OtherDefs.CwF_Pitts]
comp_law_3 [in TypeTheory.OtherDefs.CwF_Pitts]
comp_laws_1_2 [in TypeTheory.OtherDefs.CwF_Pitts]
comp_2_struct [in TypeTheory.OtherDefs.CwF_Pitts]
comp_obj [in TypeTheory.OtherDefs.CwF_Pitts]
comp_1_struct [in TypeTheory.OtherDefs.CwF_Pitts]
comp_disp [in TypeTheory.Displayed_Cats.Core]
comp_law_4 [in TypeTheory.OtherDefs.CwF_1]
comp_law_3 [in TypeTheory.OtherDefs.CwF_1]
comp_laws_1_2 [in TypeTheory.OtherDefs.CwF_1]
comp_2_struct [in TypeTheory.OtherDefs.CwF_1]
comp_obj [in TypeTheory.OtherDefs.CwF_1]
comp_1_struct [in TypeTheory.OtherDefs.CwF_1]
counit_comp [in TypeTheory.Auxiliary.Auxiliary]
counit_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
counit_over_id [in TypeTheory.Displayed_Cats.Equivalences]
counit_over [in TypeTheory.Displayed_Cats.Equivalences]
creates_limits_functor_alg [in TypeTheory.Displayed_Cats.Examples]
creates_limits [in TypeTheory.Displayed_Cats.Limits]
creates_limit [in TypeTheory.Displayed_Cats.Limits]
ctx_last [in TypeTheory.Instances.Presheaves]
ctx_proj [in TypeTheory.Instances.Presheaves]
ctx_ext [in TypeTheory.Instances.Presheaves]
cwf [in TypeTheory.ALV1.CwF_def]
cwf_of_typecat [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
cwf_law_4 [in TypeTheory.OtherDefs.CwF_Pitts]
cwf_law_3_gen [in TypeTheory.OtherDefs.CwF_Pitts]
cwf_law_3 [in TypeTheory.OtherDefs.CwF_Pitts]
cwf_law_2_gen [in TypeTheory.OtherDefs.CwF_Pitts]
cwf_law_2 [in TypeTheory.OtherDefs.CwF_Pitts]
cwf_law_1 [in TypeTheory.OtherDefs.CwF_Pitts]
cwf_terms_isaset [in TypeTheory.OtherDefs.CwF_Pitts]
cwf_types_isaset [in TypeTheory.OtherDefs.CwF_Pitts]
cwf_comp_laws [in TypeTheory.OtherDefs.CwF_Pitts]
cwf_laws_from_cwf_struct [in TypeTheory.OtherDefs.CwF_Pitts]
cwf_data_from_cwf_struct [in TypeTheory.OtherDefs.CwF_Pitts]
cwf_struct [in TypeTheory.OtherDefs.CwF_Pitts]
cwf_laws [in TypeTheory.OtherDefs.CwF_Pitts]
cwf_fiber_representation_weq [in TypeTheory.ALV1.CwF_def]
cwf_fiber_representation' [in TypeTheory.ALV1.CwF_def]
cwf_fiber_rep_ax [in TypeTheory.ALV1.CwF_def]
cwf_fiber_rep_data [in TypeTheory.ALV1.CwF_def]
cwf_structure [in TypeTheory.ALV1.CwF_def]
cwf_representation [in TypeTheory.ALV1.CwF_def]
cwf_fiber_representation [in TypeTheory.ALV1.CwF_def]
cwf_tm_of_ty [in TypeTheory.ALV1.CwF_def]
cwf_law_4 [in TypeTheory.OtherDefs.CwF_1]
cwf_law_3_gen [in TypeTheory.OtherDefs.CwF_1]
cwf_law_3 [in TypeTheory.OtherDefs.CwF_1]
cwf_law_2_gen [in TypeTheory.OtherDefs.CwF_1]
cwf_law_2 [in TypeTheory.OtherDefs.CwF_1]
cwf_law_1 [in TypeTheory.OtherDefs.CwF_1]
cwf_terms_isaset [in TypeTheory.OtherDefs.CwF_1]
cwf_types_isaset [in TypeTheory.OtherDefs.CwF_1]
cwf_comp_laws [in TypeTheory.OtherDefs.CwF_1]
cwf_laws_from_cwf_struct [in TypeTheory.OtherDefs.CwF_1]
cwf_data_from_cwf_struct [in TypeTheory.OtherDefs.CwF_1]
cwf_struct [in TypeTheory.OtherDefs.CwF_1]
cwf_laws [in TypeTheory.OtherDefs.CwF_1]
cwf' [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
cwf'_structure_of_cwf' [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
cwf'_structure [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
cwf1_structure [in TypeTheory.ALV1.CwF_Defs_Equiv]


D

data_of_right_adjoint_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
data_of_disp_adjunction [in TypeTheory.Displayed_Cats.Equivalences_bis]
data_from_adjunction [in TypeTheory.Displayed_Cats.Equivalences_bis]
data_of_right_adjoint_over_id [in TypeTheory.Displayed_Cats.Equivalences]
data_of_disp_adjunction_id [in TypeTheory.Displayed_Cats.Equivalences]
data_from_adjunction [in TypeTheory.Displayed_Cats.Equivalences]
dirprodpr1_disp_functor [in TypeTheory.Displayed_Cats.Constructions]
dirprodpr1_disp_functor_axioms [in TypeTheory.Displayed_Cats.Constructions]
dirprodpr1_disp_functor_data [in TypeTheory.Displayed_Cats.Constructions]
dirprodpr2_disp_functor [in TypeTheory.Displayed_Cats.Constructions]
dirprodpr2_disp_functor_axioms [in TypeTheory.Displayed_Cats.Constructions]
dirprodpr2_disp_functor_data [in TypeTheory.Displayed_Cats.Constructions]
dirprod_disp_cat [in TypeTheory.Displayed_Cats.Constructions]
dirprod_disp_cat_axioms [in TypeTheory.Displayed_Cats.Constructions]
dirprod_disp_cat_data [in TypeTheory.Displayed_Cats.Constructions]
dirprod_disp_cat_id_comp [in TypeTheory.Displayed_Cats.Constructions]
dirprod_disp_cat_ob_mor [in TypeTheory.Displayed_Cats.Constructions]
dirprod_pair_maps [in TypeTheory.Displayed_Cats.Auxiliary]
dirprod_maps [in TypeTheory.Displayed_Cats.Auxiliary]
dirprod_assoc [in TypeTheory.Displayed_Cats.Auxiliary]
dirprod_paths [in TypeTheory.Displayed_Cats.Auxiliary]
discrete_fibration [in TypeTheory.Displayed_Cats.Fibrations]
discrete_cat_nat_trans [in TypeTheory.Displayed_Cats.Auxiliary]
discrete_cat [in TypeTheory.Displayed_Cats.Auxiliary]
disc_fib_from_preshv [in TypeTheory.Displayed_Cats.Fibrations]
disp_functor_id_ff_reflects_isos [in TypeTheory.Displayed_Cats.Equivalences_bis]
disp_adjunction [in TypeTheory.Displayed_Cats.Equivalences_bis]
disp_adjunction_data [in TypeTheory.Displayed_Cats.Equivalences_bis]
disp_functor_id_ff_reflects_isos [in TypeTheory.Displayed_Cats.Equivalences]
disp_adjunction_id [in TypeTheory.Displayed_Cats.Equivalences]
disp_adjunction_id_data [in TypeTheory.Displayed_Cats.Equivalences]
disp_adjunction [in TypeTheory.Displayed_Cats.Equivalences]
disp_adjunction_data [in TypeTheory.Displayed_Cats.Equivalences]
disp_functor_cat [in TypeTheory.Displayed_Cats.Constructions]
disp_struct [in TypeTheory.Displayed_Cats.Constructions]
disp_struct_axioms [in TypeTheory.Displayed_Cats.Constructions]
disp_struct_data [in TypeTheory.Displayed_Cats.Constructions]
disp_struct_id_comp [in TypeTheory.Displayed_Cats.Constructions]
disp_struct_ob_mor [in TypeTheory.Displayed_Cats.Constructions]
disp_full_sub [in TypeTheory.Displayed_Cats.Constructions]
disp_full_sub_axioms [in TypeTheory.Displayed_Cats.Constructions]
disp_full_sub_data [in TypeTheory.Displayed_Cats.Constructions]
disp_full_sub_id_comp [in TypeTheory.Displayed_Cats.Constructions]
disp_full_sub_ob_mor [in TypeTheory.Displayed_Cats.Constructions]
disp_cat_from_preshv [in TypeTheory.Displayed_Cats.Fibrations]
disp_cat_from_discrete_fibration [in TypeTheory.Displayed_Cats.Fibrations]
disp_cartesian' [in TypeTheory.Displayed_Cats.Examples]
disp_cartesian_axioms [in TypeTheory.Displayed_Cats.Examples]
disp_cartesian_data [in TypeTheory.Displayed_Cats.Examples]
disp_cartesian_ob_mor [in TypeTheory.Displayed_Cats.Examples]
disp_domain [in TypeTheory.Displayed_Cats.Examples]
disp_arrow [in TypeTheory.Displayed_Cats.Examples]
disp_arrow_axioms [in TypeTheory.Displayed_Cats.Examples]
disp_arrow_data [in TypeTheory.Displayed_Cats.Examples]
disp_cartesian [in TypeTheory.Displayed_Cats.Examples]
disp_over_unit [in TypeTheory.Displayed_Cats.Examples]
disp_over_unit_axioms [in TypeTheory.Displayed_Cats.Examples]
disp_over_unit_data [in TypeTheory.Displayed_Cats.Examples]
disp_cat_monad_alg [in TypeTheory.Displayed_Cats.Examples]
disp_cat_monad_alg_over_functor_alg [in TypeTheory.Displayed_Cats.Examples]
disp_cat_functor_alg [in TypeTheory.Displayed_Cats.Examples]
disp_cat_of_elements [in TypeTheory.Displayed_Cats.Examples]
disp_top [in TypeTheory.Displayed_Cats.Examples]
disp_functor_id_composite [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
disp_codomain [in TypeTheory.Displayed_Cats.Codomain]
disp_cat_from_SIP_data [in TypeTheory.Displayed_Cats.SIP]
disp_nat_trans_comp [in TypeTheory.Displayed_Cats.Core]
disp_nat_trans_comp_ax [in TypeTheory.Displayed_Cats.Core]
disp_nat_trans_id [in TypeTheory.Displayed_Cats.Core]
disp_nat_trans_id_ax [in TypeTheory.Displayed_Cats.Core]
disp_nat_trans_ax [in TypeTheory.Displayed_Cats.Core]
disp_nat_trans_pr1 [in TypeTheory.Displayed_Cats.Core]
disp_nat_trans [in TypeTheory.Displayed_Cats.Core]
disp_nat_trans_axioms [in TypeTheory.Displayed_Cats.Core]
disp_nat_trans_data [in TypeTheory.Displayed_Cats.Core]
disp_functor_disp_ess_split_surj [in TypeTheory.Displayed_Cats.Core]
disp_functor_ess_split_surj [in TypeTheory.Displayed_Cats.Core]
disp_functor_ff_reflects_isos [in TypeTheory.Displayed_Cats.Core]
disp_functor_ff_inv [in TypeTheory.Displayed_Cats.Core]
disp_functor_ff_weq [in TypeTheory.Displayed_Cats.Core]
disp_functor_ff [in TypeTheory.Displayed_Cats.Core]
disp_functor_on_iso_disp [in TypeTheory.Displayed_Cats.Core]
disp_functor_on_is_iso_disp [in TypeTheory.Displayed_Cats.Core]
disp_functor_identity [in TypeTheory.Displayed_Cats.Core]
disp_functor_composite [in TypeTheory.Displayed_Cats.Core]
disp_functor_composite_data [in TypeTheory.Displayed_Cats.Core]
disp_functor_comp_var [in TypeTheory.Displayed_Cats.Core]
disp_functor_comp [in TypeTheory.Displayed_Cats.Core]
disp_functor_id [in TypeTheory.Displayed_Cats.Core]
disp_functor_data_from_disp_functor [in TypeTheory.Displayed_Cats.Core]
disp_functor [in TypeTheory.Displayed_Cats.Core]
disp_functor_axioms [in TypeTheory.Displayed_Cats.Core]
disp_functor_on_morphisms [in TypeTheory.Displayed_Cats.Core]
disp_functor_on_objects [in TypeTheory.Displayed_Cats.Core]
disp_functor_data [in TypeTheory.Displayed_Cats.Core]
disp_univalent_category_is_univalent_disp [in TypeTheory.Displayed_Cats.Core]
disp_cat_of_disp_univalent_cat [in TypeTheory.Displayed_Cats.Core]
disp_univalent_category_pair [in TypeTheory.Displayed_Cats.Core]
disp_univalent_category [in TypeTheory.Displayed_Cats.Core]
disp_cat_data_from_disp_cat [in TypeTheory.Displayed_Cats.Core]
disp_cat [in TypeTheory.Displayed_Cats.Core]
disp_cat_axioms [in TypeTheory.Displayed_Cats.Core]
disp_cat_ob_mor_from_disp_cat_data [in TypeTheory.Displayed_Cats.Core]
disp_cat_data [in TypeTheory.Displayed_Cats.Core]
disp_cat_id_comp [in TypeTheory.Displayed_Cats.Core]
disp_cat_ob_mor [in TypeTheory.Displayed_Cats.Core]
DM [in TypeTheory.OtherDefs.DM]
DM_structure_of_TypeCat [in TypeTheory.OtherDefs.TypeCat_to_DM]
dm_sub_pb_of_TypeCat [in TypeTheory.OtherDefs.TypeCat_to_DM]
dm_sub_struct_of_TypeCat [in TypeTheory.OtherDefs.TypeCat_to_DM]
DM_equal [in TypeTheory.OtherDefs.DM]
dm_sub_pb_from_DM_structure [in TypeTheory.OtherDefs.DM]
DM_structure [in TypeTheory.OtherDefs.DM]
dm_sub_of_dm_sub_pb [in TypeTheory.OtherDefs.DM]
dm_sub_pb [in TypeTheory.OtherDefs.DM]
dm_sub_closed_under_iso [in TypeTheory.OtherDefs.DM]
DM_over_from_DM [in TypeTheory.OtherDefs.DM]
DM_from_DM_over [in TypeTheory.OtherDefs.DM]
DM_over [in TypeTheory.OtherDefs.DM]
DM_type [in TypeTheory.OtherDefs.DM]
dm_sub_struct [in TypeTheory.OtherDefs.DM]
DM_disp [in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
DM_disp_data [in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
DM_disp_id_comp [in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
DM_disp_ob_mor [in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
DM_structure_of_CwF [in TypeTheory.OtherDefs.CwF_Pitts_to_DM]
dm_sub_pb_of_CwF [in TypeTheory.OtherDefs.CwF_Pitts_to_DM]
dm_sub_struct_of_CwF [in TypeTheory.OtherDefs.CwF_Pitts_to_DM]
dpr [in TypeTheory.ALV1.CwF_Defs_Equiv]
dpr_q_typecat [in TypeTheory.ALV1.TypeCat]
dpr_typecat [in TypeTheory.ALV1.TypeCat]
dpr_q_pbpairing_precwf_unique [in TypeTheory.OtherDefs.CwF_Pitts]
dpr_q_pbpairing_precwf_mapunique [in TypeTheory.OtherDefs.CwF_Pitts]
dpr_q_pbpairing_precwf [in TypeTheory.OtherDefs.CwF_Pitts]
dpr_q_pbpairing_commutes [in TypeTheory.OtherDefs.CwF_Pitts]
dpr_q_pbpairing_precwf_aux [in TypeTheory.OtherDefs.CwF_Pitts]
dpr_q_precwf [in TypeTheory.OtherDefs.CwF_Pitts]
dpr_q_pbpairing_precwf_unique [in TypeTheory.OtherDefs.CwF_1]
dpr_q_pbpairing_precwf_mapunique [in TypeTheory.OtherDefs.CwF_1]
dpr_q_pbpairing_precwf [in TypeTheory.OtherDefs.CwF_1]
dpr_q_pbpairing_commutes [in TypeTheory.OtherDefs.CwF_1]
dpr_q_pbpairing_precwf_aux [in TypeTheory.OtherDefs.CwF_1]
dpr_q_precwf [in TypeTheory.OtherDefs.CwF_1]


E

elements_universal [in TypeTheory.Displayed_Cats.Examples]
elements_data [in TypeTheory.Displayed_Cats.Examples]
elements_ob_mor [in TypeTheory.Displayed_Cats.Examples]
Elem_cov_iso_type_equiv_Elem_cov_iso [in TypeTheory.Categories.category_of_elements]
Elem_cov_iso_type_to_Elem_cov_iso [in TypeTheory.Categories.category_of_elements]
Elem_cov_iso_to_Elem_cov_iso_type [in TypeTheory.Categories.category_of_elements]
Elem_cov_iso_gives_iso [in TypeTheory.Categories.category_of_elements]
Elem_cov_iso_type_eq [in TypeTheory.Categories.category_of_elements]
Elem_cov_iso_type [in TypeTheory.Categories.category_of_elements]
epsinv [in TypeTheory.ALV1.Transport_along_Equivs]
equiv_of_types_of_structures [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
equiv_of_structures [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
equiv_of_is_equiv_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
equiv_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
equiv_from_adj_equiv [in TypeTheory.Displayed_Cats.Equivalences_bis]
equiv_inv [in TypeTheory.Displayed_Cats.Equivalences]
equiv_of_is_equiv_over_id [in TypeTheory.Displayed_Cats.Equivalences]
equiv_over_id [in TypeTheory.Displayed_Cats.Equivalences]
equiv_Fcomp [in TypeTheory.ALV1.Transport_along_Equivs]
eq_standalone_structural [in TypeTheory.ALV1.TypeCat_Reassoc]
ess_alg_cat [in TypeTheory.Categories.ess_alg_categories]
ess_alg_cat_axioms [in TypeTheory.Categories.ess_alg_categories]
es_Fop_precomp [in TypeTheory.ALV1.Transport_along_Equivs]
etainv [in TypeTheory.ALV1.Transport_along_Equivs]
ext [in TypeTheory.ALV1.Transport_along_Equivs]
ext [in TypeTheory.ALV1.CwF_Defs_Equiv]
ext_typecat [in TypeTheory.ALV1.TypeCat]
ext_struct [in TypeTheory.ALV1.TypeCat_Reassoc]


F

FAM [in TypeTheory.Categories.category_FAM]
FAM_id4 [in TypeTheory.Categories.category_FAM]
FAM_id3 [in TypeTheory.Categories.category_FAM]
FAM_id2 [in TypeTheory.Categories.category_FAM]
FAM_id1 [in TypeTheory.Categories.category_FAM]
FAM_obj_weq [in TypeTheory.Categories.category_FAM]
FAM_is_iso [in TypeTheory.Categories.category_FAM]
FAM_obj_eq_type_2 [in TypeTheory.Categories.category_FAM]
FAM_precategory_data [in TypeTheory.Categories.category_FAM]
FAM_ob_mor [in TypeTheory.Categories.category_FAM]
FAM_mor_equiv [in TypeTheory.Categories.category_FAM]
FAM_mor_eq_type [in TypeTheory.Categories.category_FAM]
FAM_obj_weq_1 [in TypeTheory.Categories.category_FAM]
FAM_obj_UU_weq [in TypeTheory.Categories.category_FAM]
FAM_obj_UU_eq_sigma [in TypeTheory.Categories.category_FAM]
FAM_obj_UU_eq_inv [in TypeTheory.Categories.category_FAM]
FAM_obj_eq_inv [in TypeTheory.Categories.category_FAM]
FAM_obj_eq_type [in TypeTheory.Categories.category_FAM]
FFinv_on_iso_is_iso [in TypeTheory.Displayed_Cats.Equivalences_bis]
FFinv_on_iso_is_iso [in TypeTheory.Displayed_Cats.Equivalences]
ff_on_isos [in TypeTheory.Auxiliary.Auxiliary]
ff_Fop_precomp [in TypeTheory.ALV1.Transport_along_Equivs]
fi [in TypeTheory.ALV1.Transport_along_Equivs]
fiber_functor_ess_split_surj [in TypeTheory.Displayed_Cats.Equivalences_bis]
fiber_equiv [in TypeTheory.Displayed_Cats.Equivalences]
fiber_is_left_adj [in TypeTheory.Displayed_Cats.Equivalences]
fiber_functor_ess_split_surj [in TypeTheory.Displayed_Cats.Equivalences]
fiber_nat_trans [in TypeTheory.Displayed_Cats.Constructions]
fiber_functor [in TypeTheory.Displayed_Cats.Constructions]
fiber_functor_data [in TypeTheory.Displayed_Cats.Constructions]
fiber_category [in TypeTheory.Displayed_Cats.Constructions]
fiber_precategory [in TypeTheory.Displayed_Cats.Constructions]
fiber_category_data [in TypeTheory.Displayed_Cats.Constructions]
fibration [in TypeTheory.Displayed_Cats.Fibrations]
fibration_from_discrete_fibration [in TypeTheory.Displayed_Cats.Fibrations]
fmap_discrete_cat [in TypeTheory.Displayed_Cats.Auxiliary]
foo [in TypeTheory.Displayed_Cats.Fibrations]
foobar [in TypeTheory.Categories.category_of_elements]
Fop_precomp [in TypeTheory.ALV1.Transport_along_Equivs]
forget_compat_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
forget_compat_term [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
forms_cone [in TypeTheory.Displayed_Cats.Limits]
form_equiv_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
form_disp_adjunction [in TypeTheory.Displayed_Cats.Equivalences_bis]
form_equiv_over_id [in TypeTheory.Displayed_Cats.Equivalences]
form_disp_adjunction_id [in TypeTheory.Displayed_Cats.Equivalences]
form_equiv [in TypeTheory.Displayed_Cats.Equivalences]
fp [in TypeTheory.ALV1.RelativeUniverses]
fpb_obj [in TypeTheory.ALV1.RelativeUniverses]
fpullback [in TypeTheory.ALV1.RelativeUniverses]
fpullback_induced_with_ess_surj [in TypeTheory.ALV1.RelativeUniverses]
fpullback_data_from_fpullback [in TypeTheory.ALV1.RelativeUniverses]
fpullback_prop [in TypeTheory.ALV1.RelativeUniverses]
fpullback_data [in TypeTheory.ALV1.RelativeUniverses]
fq [in TypeTheory.ALV1.RelativeUniverses]
from_cwf_to_rep_map [in TypeTheory.ALV1.RepMaps]
from_cwf_to_rep [in TypeTheory.Articles.ALV_2017]
fully_faithful_pr1_category [in TypeTheory.Displayed_Cats.Core]
functor_precomp_iso [in TypeTheory.Auxiliary.Auxiliary]
functor_comp_id_iso [in TypeTheory.Auxiliary.Auxiliary]
functor_assoc_iso [in TypeTheory.Auxiliary.Auxiliary]
functor_univalent_category [in TypeTheory.Auxiliary.Auxiliary]
functor_on_mor_total [in TypeTheory.Auxiliary.Auxiliary]
functor_of_right_adjoint_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
functor_of_right_adjoint_over_id [in TypeTheory.Displayed_Cats.Equivalences]
functor_preShvs_to_Disc_Fibs [in TypeTheory.Displayed_Cats.Fibrations]
functor_data_preShv_Disc_fibs [in TypeTheory.Displayed_Cats.Fibrations]
functor_Disc_Fibs_to_preShvs [in TypeTheory.Displayed_Cats.Fibrations]
functor_alg_comp [in TypeTheory.Displayed_Cats.Examples]
functor_alg_id [in TypeTheory.Displayed_Cats.Examples]
functor_alg_mor [in TypeTheory.Displayed_Cats.Examples]
functor_alg_ob [in TypeTheory.Displayed_Cats.Examples]
functor_lifting [in TypeTheory.Displayed_Cats.Core]
functtransportf_2 [in TypeTheory.Displayed_Cats.Auxiliary]


G

gen_q_mor_struct [in TypeTheory.ALV1.TypeCat_Reassoc]
gen_q_mor_axs [in TypeTheory.ALV1.TypeCat_Reassoc]
gen_q_mor_data [in TypeTheory.ALV1.TypeCat_Reassoc]
gen_elem [in TypeTheory.OtherDefs.CwF_Pitts]
gen_elem [in TypeTheory.OtherDefs.CwF_1]
GG [in TypeTheory.Displayed_Cats.Equivalences]
GG_data [in TypeTheory.Displayed_Cats.Equivalences]
GGεη [in TypeTheory.Displayed_Cats.Equivalences]
given_TM_to_canonical [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
given_TM_to_canonical_naturality [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
given_TM_to_canonical_data [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
graph [in TypeTheory.Categories.ess_alg_categories]
graph_w_comp_from_ess_alg_cat [in TypeTheory.Categories.ess_alg_categories]
graph_from_graph_w_comp [in TypeTheory.Categories.ess_alg_categories]
graph_w_comp [in TypeTheory.Categories.ess_alg_categories]
graph_w_comp_from_gen_alg [in TypeTheory.Categories.ess_and_gen_alg_cats]
graph_from_gen_alg_comp [in TypeTheory.Categories.ess_and_gen_alg_cats]
graph_from_gen_alg [in TypeTheory.Categories.ess_and_gen_alg_cats]
group.disp_grp [in TypeTheory.Displayed_Cats.Examples]
group.e [in TypeTheory.Displayed_Cats.Examples]
group.grp_hom_e [in TypeTheory.Displayed_Cats.Examples]
group.grp_hom_mult [in TypeTheory.Displayed_Cats.Examples]
group.grp_axioms [in TypeTheory.Displayed_Cats.Examples]
group.grp_data [in TypeTheory.Displayed_Cats.Examples]
group.grp_structure [in TypeTheory.Displayed_Cats.Examples]
group.grp_inv_l [in TypeTheory.Displayed_Cats.Examples]
group.grp_inv_r [in TypeTheory.Displayed_Cats.Examples]
group.grp_e_l [in TypeTheory.Displayed_Cats.Examples]
group.grp_e_r [in TypeTheory.Displayed_Cats.Examples]
group.grp_assoc [in TypeTheory.Displayed_Cats.Examples]
group.grp_structure_axioms [in TypeTheory.Displayed_Cats.Examples]
group.grp_structure_data [in TypeTheory.Displayed_Cats.Examples]
group.inv [in TypeTheory.Displayed_Cats.Examples]
group.isaprop_is_grp_hom [in TypeTheory.Displayed_Cats.Examples]
group.is_grp_hom [in TypeTheory.Displayed_Cats.Examples]
group.mult [in TypeTheory.Displayed_Cats.Examples]
G_ff_split [in TypeTheory.Auxiliary.Auxiliary]
G_ff_split_ax [in TypeTheory.Auxiliary.Auxiliary]
G_ff_split_data [in TypeTheory.Auxiliary.Auxiliary]


H

has_homsets_preShv [in TypeTheory.ALV1.Transport_along_Equivs]
has_homsets_cwf [in TypeTheory.OtherDefs.CwF_Pitts]
has_homsets_cwf [in TypeTheory.OtherDefs.CwF_1]
hom [in TypeTheory.Categories.ess_and_gen_alg_cats]
homsets_disp [in TypeTheory.Displayed_Cats.Core]
HSET_univalent_category [in TypeTheory.Auxiliary.Auxiliary]


I

id [in TypeTheory.Categories.ess_alg_categories]
identity [in TypeTheory.Categories.ess_and_gen_alg_cats]
identity_iso_disp [in TypeTheory.Displayed_Cats.Core]
idtoiso_isotoid_disp [in TypeTheory.Displayed_Cats.Core]
id_comp_r [in TypeTheory.Categories.ess_alg_categories]
id_comp_l [in TypeTheory.Categories.ess_alg_categories]
id_target [in TypeTheory.Categories.ess_alg_categories]
id_source [in TypeTheory.Categories.ess_alg_categories]
id_comp_r_ax [in TypeTheory.Categories.ess_alg_categories]
id_comp_l_ax [in TypeTheory.Categories.ess_alg_categories]
id_target_ax [in TypeTheory.Categories.ess_alg_categories]
id_source_ax [in TypeTheory.Categories.ess_alg_categories]
id_op [in TypeTheory.Categories.ess_alg_categories]
id_op1 [in TypeTheory.Categories.ess_and_gen_alg_cats]
id_is_iso_disp [in TypeTheory.Displayed_Cats.Core]
id_right_disp_var [in TypeTheory.Displayed_Cats.Core]
id_right_disp [in TypeTheory.Displayed_Cats.Core]
id_left_disp [in TypeTheory.Displayed_Cats.Core]
id_disp [in TypeTheory.Displayed_Cats.Core]
index_func [in TypeTheory.Categories.category_FAM]
index_type [in TypeTheory.Categories.category_FAM]
inv [in TypeTheory.Displayed_Cats.Equivalences]
inv_adjunction_data [in TypeTheory.Displayed_Cats.Equivalences]
inv_from_FAM_is_iso [in TypeTheory.Categories.category_FAM]
inv_disp_from_pointwise_iso [in TypeTheory.Displayed_Cats.Constructions]
inv_iso_base_from_total [in TypeTheory.Displayed_Cats.Core]
inv_mor_after_iso_disp [in TypeTheory.Displayed_Cats.Core]
inv_mor_disp_from_iso [in TypeTheory.Displayed_Cats.Core]
isaprop_Pullback [in TypeTheory.Auxiliary.Auxiliary]
isaprop_cartesian_lifts [in TypeTheory.Displayed_Cats.Fibrations]
isaprop_functor_alg_mor [in TypeTheory.Displayed_Cats.Examples]
isaset_types_typecat [in TypeTheory.ALV1.TypeCat]
isaset_mor [in TypeTheory.Categories.ess_alg_categories]
isaset_objects [in TypeTheory.Categories.ess_alg_categories]
isaset_fiber_discrete_fibration [in TypeTheory.Displayed_Cats.Fibrations]
iscompatible_term_from_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
iscompatible_iscompatible' [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
iscompatible_term_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
iscompatible'_term_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
isMonadAlg [in TypeTheory.Displayed_Cats.Examples]
isopair [in TypeTheory.Categories.category_FAM]
isotoid_opp [in TypeTheory.OtherDefs.CwF_Pitts_completion]
isotoid_idtoiso_disp [in TypeTheory.Displayed_Cats.Core]
isotoid_disp [in TypeTheory.Displayed_Cats.Core]
iso_to_second_pb [in TypeTheory.Auxiliary.Auxiliary]
iso_ob [in TypeTheory.Auxiliary.Auxiliary]
iso_to_dpr [in TypeTheory.OtherDefs.TypeCat_to_DM]
iso_to_id_term_fun_precategory [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
iso_to_TM_eq [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
iso_to_id__term_fun_disp_cat [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
iso_disp_to_TM_eq [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
iso_to_obj_ext_eq [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
iso_fiber_from_iso_disp [in TypeTheory.Displayed_Cats.Constructions]
iso_disp_from_iso_fiber [in TypeTheory.Displayed_Cats.Constructions]
iso_cleaving_category [in TypeTheory.Displayed_Cats.Fibrations]
iso_fibration [in TypeTheory.Displayed_Cats.Fibrations]
iso_cleaving [in TypeTheory.Displayed_Cats.Fibrations]
iso_cleaving_functor_alg [in TypeTheory.Displayed_Cats.Examples]
iso_disp_from_total [in TypeTheory.Displayed_Cats.Core]
iso_base_from_total [in TypeTheory.Displayed_Cats.Core]
iso_disp_comp [in TypeTheory.Displayed_Cats.Core]
iso_inv_from_iso_disp [in TypeTheory.Displayed_Cats.Core]
iso_disp_after_inv_mor [in TypeTheory.Displayed_Cats.Core]
iso_disp_pair [in TypeTheory.Displayed_Cats.Core]
iso_disp [in TypeTheory.Displayed_Cats.Core]
iso_to_dpr [in TypeTheory.OtherDefs.CwF_Pitts_to_DM]
isPullback_Q_pp [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
isPullback_of_DM [in TypeTheory.OtherDefs.DM]
isPullback_of_dm_sub_pb [in TypeTheory.OtherDefs.DM]
isPullback_cartesian_in_cod_disp [in TypeTheory.Displayed_Cats.Codomain]
isPullback_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
issplit_type_precat_of_precwf [in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat]
isweqbandfmap_var [in TypeTheory.Auxiliary.Auxiliary]
isweqpathscomp0l [in TypeTheory.Auxiliary.Auxiliary]
isweq_equivalence_on_mor_total [in TypeTheory.Auxiliary.Auxiliary]
isweq_left_adj_equivalence_on_mor_total [in TypeTheory.Auxiliary.Auxiliary]
isweq_from_is_iso [in TypeTheory.Categories.category_FAM]
isweq_from_cwf_to_rep [in TypeTheory.Articles.ALV_2017]
isweq_weak_relative_universe_transfer [in TypeTheory.ALV1.RelativeUniverses]
isweq_is_universe_transfer [in TypeTheory.ALV1.RelativeUniverses]
is_split_from_split_typecat [in TypeTheory.ALV1.TypeCat]
is_split_typecat [in TypeTheory.ALV1.TypeCat]
is_type_saturated_typecat [in TypeTheory.ALV1.TypeCat]
is_univalent_opp [in TypeTheory.OtherDefs.CwF_Pitts_completion]
is_representable [in TypeTheory.ALV1.RepMaps]
is_nat_trans_ε_ff_split [in TypeTheory.Auxiliary.Auxiliary]
is_left_adjoint_inv [in TypeTheory.Auxiliary.Auxiliary]
is_split [in TypeTheory.ALV1.TypeCat_Reassoc]
is_equiv_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
is_iso_counit_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
is_iso_unit_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
is_equiv_of_equiv_over_id [in TypeTheory.Displayed_Cats.Equivalences]
is_equiv_over_id [in TypeTheory.Displayed_Cats.Equivalences]
is_iso_counit_over_id [in TypeTheory.Displayed_Cats.Equivalences]
is_iso_unit_over_id [in TypeTheory.Displayed_Cats.Equivalences]
is_saturated_preShv [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
is_iso_fiber_from_is_iso_disp [in TypeTheory.Displayed_Cats.Constructions]
is_univalent_disp_iff_fibers_are_univalent [in TypeTheory.Displayed_Cats.Constructions]
is_disp_functor_cat_iso_iff_pointwise_iso [in TypeTheory.Displayed_Cats.Constructions]
is_disp_functor_cat_iso_if_pointwise_iso [in TypeTheory.Displayed_Cats.Constructions]
is_pointwise_iso_if_is_disp_functor_cat_iso [in TypeTheory.Displayed_Cats.Constructions]
is_iso_sigma_disp_aux1 [in TypeTheory.Displayed_Cats.Constructions]
is_split [in TypeTheory.Displayed_Cats.Fibrations]
is_split_comp [in TypeTheory.Displayed_Cats.Fibrations]
is_split_id [in TypeTheory.Displayed_Cats.Fibrations]
is_functor_functor_data_preShv_Disc_fibs [in TypeTheory.Displayed_Cats.Fibrations]
is_discrete_fibration [in TypeTheory.Displayed_Cats.Fibrations]
is_cleaving [in TypeTheory.Displayed_Cats.Fibrations]
is_cartesian [in TypeTheory.Displayed_Cats.Fibrations]
is_op_isofibration [in TypeTheory.Displayed_Cats.Fibrations]
is_uncloven_iso_cleaving [in TypeTheory.Displayed_Cats.Fibrations]
is_cartesian_disp_functor [in TypeTheory.Displayed_Cats.ComprehensionC]
is_universe_relative_to [in TypeTheory.ALV1.RelativeUniverses]
is_groupoid [in TypeTheory.Displayed_Cats.Auxiliary]
is_univalent_Elem [in TypeTheory.Categories.category_of_elements]
is_iso_disp_from_total [in TypeTheory.Displayed_Cats.Core]
is_iso_base_from_total [in TypeTheory.Displayed_Cats.Core]
is_iso_total [in TypeTheory.Displayed_Cats.Core]
is_univalent_in_fibers_from_univalent_disp [in TypeTheory.Displayed_Cats.Core]
is_univalent_in_fibers [in TypeTheory.Displayed_Cats.Core]
is_univalent_disp [in TypeTheory.Displayed_Cats.Core]
is_iso_inv_from_is_iso_disp [in TypeTheory.Displayed_Cats.Core]
is_iso_inv_from_iso_disp [in TypeTheory.Displayed_Cats.Core]
is_iso_disp_from_iso [in TypeTheory.Displayed_Cats.Core]
is_iso_disp [in TypeTheory.Displayed_Cats.Core]


L

left_adj_from_adj_equiv [in TypeTheory.Auxiliary.Auxiliary]
left_adj_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
left_adjequiv [in TypeTheory.Displayed_Cats.Equivalences_bis]
left_adj_over_id [in TypeTheory.Displayed_Cats.Equivalences]
left_adj_over [in TypeTheory.Displayed_Cats.Equivalences]
lifted_functor [in TypeTheory.Displayed_Cats.Core]
lifted_functor_axioms [in TypeTheory.Displayed_Cats.Core]
lifted_functor_data [in TypeTheory.Displayed_Cats.Core]
l_to_r_reassoc_direct [in TypeTheory.ALV1.TypeCat_Reassoc]


M

maponpaths_2 [in TypeTheory.Auxiliary.Auxiliary]
map_to_1st_pb [in TypeTheory.Auxiliary.Auxiliary]
map_to_2nd_pb [in TypeTheory.Auxiliary.Auxiliary]
map_into_Pb [in TypeTheory.Auxiliary.Auxiliary]
map_into [in TypeTheory.ALV1.CwF_def]
mkTermIn [in TypeTheory.Instances.Presheaves]
mor [in TypeTheory.Categories.ess_alg_categories]
mor [in TypeTheory.Categories.category_FAM]
morphism_from_total [in TypeTheory.Auxiliary.Auxiliary]
morphism_as_total [in TypeTheory.Auxiliary.Auxiliary]
mor_total [in TypeTheory.Auxiliary.Auxiliary]
mor_disp_of_cartesian_lift [in TypeTheory.Displayed_Cats.Fibrations]
mor_disp_from_iso [in TypeTheory.Displayed_Cats.Core]
mor_disp [in TypeTheory.Displayed_Cats.Core]


N

NAction_disp [in TypeTheory.Displayed_Cats.Examples]
NAction_data [in TypeTheory.Displayed_Cats.Examples]
NAction_id_comp [in TypeTheory.Displayed_Cats.Examples]
NAction_disp_ob_mor [in TypeTheory.Displayed_Cats.Examples]
nat_iso_from_pointwise_iso [in TypeTheory.Auxiliary.Auxiliary]


O

obj [in TypeTheory.Categories.category_FAM]
objects [in TypeTheory.Categories.ess_alg_categories]
object_of_cartesian_lift [in TypeTheory.Displayed_Cats.Fibrations]
obj_ext_struct [in TypeTheory.ALV1.TypeCat_Reassoc]
obj_ext_to_preShv_functor [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
obj_ext_to_preShv_functor_axioms [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
obj_ext_to_preShv_functor_data [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
obj_ext_iso_alt [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
obj_UU_from_obj [in TypeTheory.Categories.category_FAM]
obj_UU [in TypeTheory.Categories.category_FAM]
obj_ext_structure_of_split_typecat'_structure [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
obj_ext_structure_of_cwf'_structure [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
obj_ext_structure [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
obj_ext_Precat [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_has_homsets [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_precat [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_precat_axioms [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_precat_data [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_id_comp [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_ob_mor [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_mor_ax [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_mor_φ [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_mor_TY [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obj_ext_mor [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
obmor [in TypeTheory.Categories.ess_and_gen_alg_cats]
ob_from_DM_over [in TypeTheory.OtherDefs.DM]
ob_as_functor [in TypeTheory.Displayed_Cats.Auxiliary]
ob_disp [in TypeTheory.Displayed_Cats.Core]
opp_univalent_cat [in TypeTheory.OtherDefs.CwF_Pitts_completion]
opp_iso_inv [in TypeTheory.OtherDefs.CwF_Pitts_completion]


P

pairing [in TypeTheory.OtherDefs.CwF_Pitts]
pairing [in TypeTheory.OtherDefs.CwF_1]
pairing_transport [in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat]
pairing_transport [in TypeTheory.OtherDefs.CwF_Pitts]
pairing_transport [in TypeTheory.OtherDefs.CwF_1]
pair_functor [in TypeTheory.Displayed_Cats.Auxiliary]
pair_functor_data [in TypeTheory.Displayed_Cats.Auxiliary]
Pbb [in TypeTheory.Auxiliary.Auxiliary]
Pb_map_commutes_2 [in TypeTheory.Auxiliary.Auxiliary]
Pb_map_commutes_1 [in TypeTheory.Auxiliary.Auxiliary]
pb_of_DM_of_TypeCat [in TypeTheory.OtherDefs.TypeCat_to_DM]
pb_arrow_of_arrow [in TypeTheory.OtherDefs.DM]
pb_DM_over_of_DM_over [in TypeTheory.OtherDefs.DM]
pb_DM_of_DM [in TypeTheory.OtherDefs.DM]
pb_mor_of_mor [in TypeTheory.OtherDefs.DM]
pb_mor_of_DM [in TypeTheory.OtherDefs.DM]
pb_ob_of_DM [in TypeTheory.OtherDefs.DM]
pb_of_dm_sub_pb [in TypeTheory.OtherDefs.DM]
pb_of_DM_struct [in TypeTheory.OtherDefs.DM]
pb_of_DM_of_CwF [in TypeTheory.OtherDefs.CwF_Pitts_to_DM]
pointwise_inv_is_inv_on [in TypeTheory.Displayed_Cats.Constructions]
pointwise_iso_from_nat_iso [in TypeTheory.Displayed_Cats.Constructions]
pp [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
pp_te [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
pp_te_from_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
pp_from_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
pp_from_qq_data [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
pp'_eta [in TypeTheory.ALV1.CwF_def]
precategory_from_ess_alg_cat [in TypeTheory.Categories.ess_and_gen_alg_cats]
precategory_data_from_ess_alg_cat [in TypeTheory.Categories.ess_and_gen_alg_cats]
precategory_ob_mor_from_ess_alg_cat [in TypeTheory.Categories.ess_and_gen_alg_cats]
precategory_of_split_typecat' [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
precategory_of_cwf' [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
precategory_of_elements [in TypeTheory.Categories.category_of_elements]
precategory_of_elements_data [in TypeTheory.Categories.category_of_elements]
precategory_of_elements_ob_mor [in TypeTheory.Categories.category_of_elements]
Precat_of_discrete_fibs [in TypeTheory.Displayed_Cats.Fibrations]
precat_of_discrete_fibs [in TypeTheory.Displayed_Cats.Fibrations]
precat_axioms_of_discrete_fibs [in TypeTheory.Displayed_Cats.Fibrations]
precat_of_discrete_fibs_data [in TypeTheory.Displayed_Cats.Fibrations]
precat_of_discrete_fibs_ob_mor [in TypeTheory.Displayed_Cats.Fibrations]
precat_of_elements [in TypeTheory.Displayed_Cats.Examples]
precomp_with_iso_disp_is_inj [in TypeTheory.Displayed_Cats.Core]
preShv [in TypeTheory.Auxiliary.Auxiliary]
PreShv_tt_reindx_type_struct [in TypeTheory.Instances.Presheaves]
PreShv_tt_structure [in TypeTheory.Instances.Presheaves]
PreShv_TypeCat [in TypeTheory.Instances.Presheaves]
preshv_from_disc_fib_ob [in TypeTheory.Displayed_Cats.Fibrations]
preshv_ax_from_disc_fib_ob [in TypeTheory.Displayed_Cats.Fibrations]
preshv_data_from_disc_fib_ob [in TypeTheory.Displayed_Cats.Fibrations]
pre_cwf_law_2' [in TypeTheory.OtherDefs.CwF_Pitts]
pre_cwf_law_2' [in TypeTheory.OtherDefs.CwF_1]
prod_discrete_cat [in TypeTheory.Displayed_Cats.Auxiliary]
prod_functor [in TypeTheory.Displayed_Cats.Auxiliary]
prod_functor_data [in TypeTheory.Displayed_Cats.Auxiliary]
prod_category_assoc [in TypeTheory.Displayed_Cats.Auxiliary]
prod_category_assoc_data [in TypeTheory.Displayed_Cats.Auxiliary]
prod_category [in TypeTheory.Displayed_Cats.Auxiliary]
prod_precategory_homsets [in TypeTheory.Displayed_Cats.Auxiliary]
prod_precategory [in TypeTheory.Displayed_Cats.Auxiliary]
prod_precategory_is_precategory [in TypeTheory.Displayed_Cats.Auxiliary]
prod_precategory_data [in TypeTheory.Displayed_Cats.Auxiliary]
prod_precategory_ob_mor [in TypeTheory.Displayed_Cats.Auxiliary]
proj_mor [in TypeTheory.OtherDefs.CwF_Pitts]
proj_functor [in TypeTheory.Categories.category_of_elements]
proj_functor_data [in TypeTheory.Categories.category_of_elements]
proj_mor [in TypeTheory.OtherDefs.CwF_1]
pr1_equiv_inv [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
pr1_equiv [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
pr1_category [in TypeTheory.Displayed_Cats.Core]
pr1_category_data [in TypeTheory.Displayed_Cats.Core]
pr2_equiv [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
pshf [in TypeTheory.ALV1.TypeCat_Reassoc]
pshf_axioms [in TypeTheory.ALV1.TypeCat_Reassoc]
pshf_data [in TypeTheory.ALV1.TypeCat_Reassoc]
pullback_is_cartesian [in TypeTheory.Displayed_Cats.DisplayedCatFromCwDM]
p_gen [in TypeTheory.Instances.Presheaves]


Q

Q [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_structure_iso_to_id [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_structure_precategory [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_structure_axioms [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_structure_data [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_structure_id_comp [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_structure_ob_mor [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
qq_structure_iso_disp_to_id [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
qq_morphism_structure_of_split_typecat'_structure [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_comp [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_id [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_morphism_data_from_structure [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_morphism_structure [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_morphism_axioms [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_morphism_data [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
qq_from_term [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
qq_from_term_data [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
qq_term [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
qq_morphism_structure_of_compatible [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
qq_structure_precat [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
qq_structure_disp_cat [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
qq_structure_axioms [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
qq_structure_data [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
qq_structure_id_comp [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
qq_structure_ob_mor [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
q_q_typecat [in TypeTheory.ALV1.TypeCat]
q_typecat [in TypeTheory.ALV1.TypeCat]
Q_pp_Pb_unique [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Q_pp_Pb_univprop [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Q_pp_Pb_pointwise [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Q_pp [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
q_gen_mor [in TypeTheory.Instances.Presheaves]
q_gen [in TypeTheory.Instances.Presheaves]
q_precwf [in TypeTheory.OtherDefs.CwF_Pitts]
Q_pp_from_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Q_from_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
q_precwf [in TypeTheory.OtherDefs.CwF_1]


R

RC_type_functor [in TypeTheory.OtherDefs.CwF_Pitts_completion]
RC_Ty_iso [in TypeTheory.ALV1.CwF_def]
RC_Tm_iso [in TypeTheory.ALV1.CwF_def]
RC_pp'_eta [in TypeTheory.ALV1.CwF_def]
reassoc_split_struct [in TypeTheory.ALV1.TypeCat_Reassoc]
reflects_pullbacks [in TypeTheory.Auxiliary.Auxiliary]
reindex_disp_functor [in TypeTheory.Displayed_Cats.Core]
reindex_disp_cat [in TypeTheory.Displayed_Cats.Core]
reindex_disp_cat_axioms [in TypeTheory.Displayed_Cats.Core]
reindex_disp_cat_data [in TypeTheory.Displayed_Cats.Core]
reindex_disp_cat_id_comp [in TypeTheory.Displayed_Cats.Core]
reindex_disp_cat_ob_mor [in TypeTheory.Displayed_Cats.Core]
reindx_laws_of_typecat [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
reindx_laws_terms_of_typecat [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
reindx_struct_of_typecat [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
reindx_laws_from_cwf_struct [in TypeTheory.OtherDefs.CwF_Pitts]
reindx_term_comp [in TypeTheory.OtherDefs.CwF_Pitts]
reindx_term_id [in TypeTheory.OtherDefs.CwF_Pitts]
reindx_type_comp [in TypeTheory.OtherDefs.CwF_Pitts]
reindx_type_id [in TypeTheory.OtherDefs.CwF_Pitts]
reindx_laws [in TypeTheory.OtherDefs.CwF_Pitts]
reindx_laws_terms [in TypeTheory.OtherDefs.CwF_Pitts]
reindx_laws_type [in TypeTheory.OtherDefs.CwF_Pitts]
reindx_from_tt_reindx [in TypeTheory.OtherDefs.CwF_Pitts]
reindx_structure [in TypeTheory.OtherDefs.CwF_Pitts]
reindx_laws_from_cwf_struct [in TypeTheory.OtherDefs.CwF_1]
reindx_term_comp [in TypeTheory.OtherDefs.CwF_1]
reindx_term_id [in TypeTheory.OtherDefs.CwF_1]
reindx_type_comp [in TypeTheory.OtherDefs.CwF_1]
reindx_type_id [in TypeTheory.OtherDefs.CwF_1]
reindx_laws [in TypeTheory.OtherDefs.CwF_1]
reindx_laws_terms [in TypeTheory.OtherDefs.CwF_1]
reindx_laws_type_proof [in TypeTheory.OtherDefs.CwF_1]
reindx_laws_type [in TypeTheory.OtherDefs.CwF_1]
reindx_from_tt_reindx [in TypeTheory.OtherDefs.CwF_1]
reindx_structure [in TypeTheory.OtherDefs.CwF_1]
reind_comp_term_typecat [in TypeTheory.ALV1.TypeCat]
reind_comp_type_typecat [in TypeTheory.ALV1.TypeCat]
reind_id_term_typecat [in TypeTheory.ALV1.TypeCat]
reind_id_type_typecat [in TypeTheory.ALV1.TypeCat]
reind_comp_typecat [in TypeTheory.ALV1.TypeCat]
reind_pb_typecat [in TypeTheory.ALV1.TypeCat]
reind_typecat [in TypeTheory.ALV1.TypeCat]
relative_universe [in TypeTheory.ALV1.RelativeUniverses]
rel_universe_structure_induced_with_ess_surj [in TypeTheory.ALV1.RelativeUniverses]
rel_universe_structure_induced_with_ess_split [in TypeTheory.ALV1.RelativeUniverses]
rel_universe_structure_prop [in TypeTheory.ALV1.RelativeUniverses]
rel_universe_structure_data [in TypeTheory.ALV1.RelativeUniverses]
rel_universe_structure [in TypeTheory.ALV1.RelativeUniverses]
rep_map [in TypeTheory.ALV1.RepMaps]
rep1 [in TypeTheory.ALV1.CwF_Defs_Equiv]
rep1_axioms [in TypeTheory.ALV1.CwF_Defs_Equiv]
rep1_fiber_axioms [in TypeTheory.ALV1.CwF_Defs_Equiv]
rep1_data [in TypeTheory.ALV1.CwF_Defs_Equiv]
rep2 [in TypeTheory.ALV1.CwF_Defs_Equiv]
rep2_data [in TypeTheory.ALV1.CwF_Defs_Equiv]
Rezk_functor [in TypeTheory.OtherDefs.CwF_Pitts_completion]
Rezk_on_rep_map [in TypeTheory.ALV1.RepMaps]
Rezk_on_WeakRelUnivYo [in TypeTheory.ALV1.RelUnivYonedaCompletion]
Rezk_eta_full [in TypeTheory.ALV1.RelUnivYonedaCompletion]
Rezk_on_RelUnivYoneda [in TypeTheory.ALV1.RelUnivYonedaCompletion]
Rezk_on_cwf_structures [in TypeTheory.ALV1.CwF_def]
right_adjoint_of_is_equiv_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
right_adjoint_of_disp_adjunction [in TypeTheory.Displayed_Cats.Equivalences_bis]
right_adjoint_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
right_adjoint_of_disp_adjunction_data [in TypeTheory.Displayed_Cats.Equivalences_bis]
right_adjoint_over_data [in TypeTheory.Displayed_Cats.Equivalences_bis]
right_adj_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
right_adjoint_of_is_equiv_over_id [in TypeTheory.Displayed_Cats.Equivalences]
right_adjoint_of_disp_adjunction_id [in TypeTheory.Displayed_Cats.Equivalences]
right_adjoint_over_id [in TypeTheory.Displayed_Cats.Equivalences]
right_adjoint_of_disp_adjunction_id_data [in TypeTheory.Displayed_Cats.Equivalences]
right_adjoint_over_id_data [in TypeTheory.Displayed_Cats.Equivalences]
right_adj_over_id [in TypeTheory.Displayed_Cats.Equivalences]
right_adj_over [in TypeTheory.Displayed_Cats.Equivalences]
rterm [in TypeTheory.OtherDefs.CwF_Pitts]
rterm [in TypeTheory.OtherDefs.CwF_1]
rtype [in TypeTheory.OtherDefs.CwF_Pitts]
rtype [in TypeTheory.OtherDefs.CwF_1]
r_to_l_reassoc_direct [in TypeTheory.ALV1.TypeCat_Reassoc]


S

section_qq_π [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
section_disp_comp [in TypeTheory.Displayed_Cats.Core]
section_disp_id [in TypeTheory.Displayed_Cats.Core]
section_disp_data_from_section_disp [in TypeTheory.Displayed_Cats.Core]
section_disp [in TypeTheory.Displayed_Cats.Core]
section_disp_axioms [in TypeTheory.Displayed_Cats.Core]
section_disp_on_morphisms [in TypeTheory.Displayed_Cats.Core]
section_disp_on_objects [in TypeTheory.Displayed_Cats.Core]
section_disp_data [in TypeTheory.Displayed_Cats.Core]
shuffle [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
sigmapr1_disp_functor [in TypeTheory.Displayed_Cats.Constructions]
sigmapr1_disp_functor_axioms [in TypeTheory.Displayed_Cats.Constructions]
sigmapr1_disp_functor_data [in TypeTheory.Displayed_Cats.Constructions]
sigma_disp_iso_map [in TypeTheory.Displayed_Cats.Constructions]
sigma_disp_iso [in TypeTheory.Displayed_Cats.Constructions]
sigma_disp_cat [in TypeTheory.Displayed_Cats.Constructions]
sigma_disp_cat_axioms [in TypeTheory.Displayed_Cats.Constructions]
sigma_disp_cat_data [in TypeTheory.Displayed_Cats.Constructions]
sigma_disp_cat_id_comp [in TypeTheory.Displayed_Cats.Constructions]
sigma_disp_cat_ob_mor [in TypeTheory.Displayed_Cats.Constructions]
SIP [in TypeTheory.Displayed_Cats.SIP]
source [in TypeTheory.Categories.ess_alg_categories]
source [in TypeTheory.Auxiliary.Auxiliary]
split_typecat_structure [in TypeTheory.ALV1.TypeCat]
split_full [in TypeTheory.Auxiliary.Auxiliary]
split_ess_surj [in TypeTheory.Auxiliary.Auxiliary]
split_struct [in TypeTheory.ALV1.TypeCat_Reassoc]
split_typecat'_structure_of_split_typecat' [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
split_typecat' [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
split_typecat'_structure [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
sqr_comm_of_DM [in TypeTheory.OtherDefs.DM]
sqr_comm_of_dm_sub_pb [in TypeTheory.OtherDefs.DM]
standalone_to_structural [in TypeTheory.ALV1.TypeCat_Reassoc]
strucs_compat_axioms [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
strucs_compat_data [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
strucs_compat_id_comp [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
strucs_compat_ob_mor [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
strucs_compat_iso_disp_to_id [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
strucs_compat_disp_cat [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
strucs_compat_axioms [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
strucs_compat_data [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
strucs_compat_id_comp [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
strucs_compat_ob_mor [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
structural_to_standalone [in TypeTheory.ALV1.TypeCat_Reassoc]
struct_total [in TypeTheory.ALV1.TypeCat_Reassoc]
struct1 [in TypeTheory.ALV1.TypeCat_Reassoc]
struct2 [in TypeTheory.ALV1.TypeCat_Reassoc]
subst_el [in TypeTheory.Instances.Presheaves]
subst_pair [in TypeTheory.Instances.Presheaves]
subst_term [in TypeTheory.Instances.Presheaves]
subst_type [in TypeTheory.Instances.Presheaves]
subst_functor [in TypeTheory.Instances.Presheaves]


T

target [in TypeTheory.Categories.ess_alg_categories]
target [in TypeTheory.Auxiliary.Auxiliary]
te [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
te [in TypeTheory.ALV1.CwF_Defs_Equiv]
term [in TypeTheory.OtherDefs.CwF_Pitts]
term [in TypeTheory.OtherDefs.CwF_1]
TermIn [in TypeTheory.Instances.Presheaves]
TermInSection [in TypeTheory.Instances.Presheaves]
term_from_qq_mor_TM [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_precategory [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_axioms [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_data [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_id_comp [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_ob_mor [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_mor_Q [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_mor_te [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_mor_pp [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_mor_TM [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_mor [in TypeTheory.ALV1.CwF_SplitTypeCat_Cats_Standalone]
term_fun_structure_of_cwf'_structure [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_fun_data_from_term_fun [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_fun_structure [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_fun_structure_axioms [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_fun_structure_data [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
term_struc_to_qq_struc_equiv_types [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Comparison]
term_to_subst [in TypeTheory.Instances.Presheaves]
term_struc_to_qq_struc_is_equiv [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
term_struc_to_qq_struc_fiber_functor [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
term_from_qq_mor_TM [in TypeTheory.ALV2.CwF_SplitTypeCat_Equiv_Cats]
term_from_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
term_from_qq_data [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
term_structure_of_compatible [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
term_fun_structure_precat [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_disp_cat [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_axioms [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_data [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_id_comp [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_ob_mor [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_mor_Q [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_mor_te [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_mor_pp [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_mor_TM [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
term_fun_mor [in TypeTheory.ALV2.CwF_SplitTypeCat_Cats]
te_from_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
TM [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Tm [in TypeTheory.ALV1.CwF_def]
tm_from_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
tm_from_qq_functor_data [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
tm_from_qq_functor_mor [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
tm_from_qq_functor_ob [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
tm_from_qq_carrier [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
Tm_iso [in TypeTheory.ALV1.CwF_def]
top_disp_cat_axioms [in TypeTheory.Displayed_Cats.Examples]
top_disp_cat_data [in TypeTheory.Displayed_Cats.Examples]
top_disp_cat_ob_mor [in TypeTheory.Displayed_Cats.Examples]
total_domain [in TypeTheory.Displayed_Cats.Examples]
total_functor_alg [in TypeTheory.Displayed_Cats.Examples]
total_comprehension_of_dm_structure [in TypeTheory.Displayed_Cats.ComprehensionC]
total_limits [in TypeTheory.Displayed_Cats.Limits]
total_functor [in TypeTheory.Displayed_Cats.Core]
total_functor_axioms [in TypeTheory.Displayed_Cats.Core]
total_functor_data [in TypeTheory.Displayed_Cats.Core]
total_iso_equiv [in TypeTheory.Displayed_Cats.Core]
total_iso_isweq [in TypeTheory.Displayed_Cats.Core]
total_iso_equiv_map [in TypeTheory.Displayed_Cats.Core]
total_iso [in TypeTheory.Displayed_Cats.Core]
total_category [in TypeTheory.Displayed_Cats.Core]
total_precategory [in TypeTheory.Displayed_Cats.Core]
total_category_data [in TypeTheory.Displayed_Cats.Core]
total_category_id_comp [in TypeTheory.Displayed_Cats.Core]
total_category_ob_mor [in TypeTheory.Displayed_Cats.Core]
transfer_rep_map_weak_equiv [in TypeTheory.ALV1.RepMaps]
transfer_rep_map_weak_equivalence [in TypeTheory.Articles.ALV_2017]
transfer_cwf_weak_equivalence [in TypeTheory.Articles.ALV_2017]
Transfer_of_WeakRelUnivYoneda [in TypeTheory.ALV1.Transport_along_Equivs]
Transfer_of_RelUnivYoneda [in TypeTheory.ALV1.Transport_along_Equivs]
transfer_of_rel_univ_with_ess_surj [in TypeTheory.ALV1.RelativeUniverses]
transfer_of_rel_univ_with_ess_split [in TypeTheory.ALV1.RelativeUniverses]
transfer_cwf_weak_equiv [in TypeTheory.ALV1.CwF_def]
transportf_forall_var2 [in TypeTheory.Auxiliary.Auxiliary]
transportf_forall_var [in TypeTheory.Auxiliary.Auxiliary]
transportf_obj_ext [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
triangle_2_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
triangle_1_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
triangle_2_statement_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
triangle_1_statement_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
triangle_2_over_id [in TypeTheory.Displayed_Cats.Equivalences]
triangle_1_over_id [in TypeTheory.Displayed_Cats.Equivalences]
triangle_2_statement_over_id [in TypeTheory.Displayed_Cats.Equivalences]
triangle_1_statement_over_id [in TypeTheory.Displayed_Cats.Equivalences]
triangle_2_over_statement [in TypeTheory.Displayed_Cats.Equivalences]
triangle_1_over_statement [in TypeTheory.Displayed_Cats.Equivalences]
truncation_weq [in TypeTheory.Auxiliary.Auxiliary]
tt_reindx_type_struct_of_typecat [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
tt_reindx_comp_1_of_typecat [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
tt_reindx_from_typecat [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
tt_structure_of_typecat [in TypeTheory.OtherDefs.TypeCat_to_CwF_Pitts]
tt_reindx_comp_1_from_tt_reindx_comp [in TypeTheory.OtherDefs.CwF_Pitts]
tt_reindx_type_struct [in TypeTheory.OtherDefs.CwF_Pitts]
tt_reindx_from_tt_reindx_comp_1 [in TypeTheory.OtherDefs.CwF_Pitts]
tt_reindx_comp_1_struct [in TypeTheory.OtherDefs.CwF_Pitts]
tt_from_tt_reindx [in TypeTheory.OtherDefs.CwF_Pitts]
tt_reindx_struct [in TypeTheory.OtherDefs.CwF_Pitts]
tt_structure [in TypeTheory.OtherDefs.CwF_Pitts]
tt_reindx_comp_1_from_tt_reindx_comp [in TypeTheory.OtherDefs.CwF_1]
tt_reindx_type_struct [in TypeTheory.OtherDefs.CwF_1]
tt_reindx_from_tt_reindx_comp_1 [in TypeTheory.OtherDefs.CwF_1]
tt_reindx_comp_1_struct [in TypeTheory.OtherDefs.CwF_1]
tt_from_tt_reindx [in TypeTheory.OtherDefs.CwF_1]
tt_reindx_struct [in TypeTheory.OtherDefs.CwF_1]
tt_structure [in TypeTheory.OtherDefs.CwF_1]
TY [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
Ty [in TypeTheory.ALV1.CwF_def]
type [in TypeTheory.OtherDefs.CwF_Pitts]
type [in TypeTheory.OtherDefs.CwF_1]
typecat_from_split [in TypeTheory.ALV1.TypeCat]
typecat_structure [in TypeTheory.ALV1.TypeCat]
typecat_structure2 [in TypeTheory.ALV1.TypeCat]
typecat_structure1 [in TypeTheory.ALV1.TypeCat]
typecat1_from_typecat [in TypeTheory.ALV1.TypeCat]
type_functor [in TypeTheory.OtherDefs.CwF_Pitts_completion]
type_is_functor [in TypeTheory.OtherDefs.CwF_Pitts_completion]
type_functor_data [in TypeTheory.OtherDefs.CwF_Pitts_completion]
type_hSet [in TypeTheory.OtherDefs.CwF_Pitts_completion]
type_cat_of_precwf [in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat]
type_cat1_of_precwf [in TypeTheory.OtherDefs.CwF_Pitts_to_TypeCat]
type_cat_struct_from_DM [in TypeTheory.OtherDefs.DM_to_TypeCat]
type_cat_structure2_from_DM [in TypeTheory.OtherDefs.DM_to_TypeCat]
type_cat_structure1_from_DM [in TypeTheory.OtherDefs.DM_to_TypeCat]
ty_typecat [in TypeTheory.ALV1.TypeCat]
Ty_iso [in TypeTheory.ALV1.CwF_def]
T_q_comp [in TypeTheory.ALV1.TypeCat_Reassoc]
T_reind_comp [in TypeTheory.ALV1.TypeCat_Reassoc]
T_q_id [in TypeTheory.ALV1.TypeCat_Reassoc]
T_reind_id [in TypeTheory.ALV1.TypeCat_Reassoc]
T_set [in TypeTheory.ALV1.TypeCat_Reassoc]
T_q_etc [in TypeTheory.ALV1.TypeCat_Reassoc]
T_reind [in TypeTheory.ALV1.TypeCat_Reassoc]
T_dpr [in TypeTheory.ALV1.TypeCat_Reassoc]
T_ext [in TypeTheory.ALV1.TypeCat_Reassoc]
T_ty [in TypeTheory.ALV1.TypeCat_Reassoc]
T1 [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
T2 [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]


U

unique_lift [in TypeTheory.Displayed_Cats.Fibrations]
unit_comp [in TypeTheory.Auxiliary.Auxiliary]
unit_over [in TypeTheory.Displayed_Cats.Equivalences_bis]
unit_over_id [in TypeTheory.Displayed_Cats.Equivalences]
unit_over [in TypeTheory.Displayed_Cats.Equivalences]
unit_functor [in TypeTheory.Displayed_Cats.Auxiliary]
unit_precategory [in TypeTheory.Displayed_Cats.Auxiliary]
univalent_fibration_is_cloven [in TypeTheory.Displayed_Cats.Fibrations]


W

weak_fibration [in TypeTheory.Displayed_Cats.Fibrations]
weak_iso_fibration [in TypeTheory.Displayed_Cats.Fibrations]
weak_relative_universe_transfer [in TypeTheory.ALV1.RelativeUniverses]
weak_from_relative_universe [in TypeTheory.ALV1.RelativeUniverses]
weak_relative_universe [in TypeTheory.ALV1.RelativeUniverses]
weqpathscomp0l [in TypeTheory.Auxiliary.Auxiliary]
weqpathscomp0l [in TypeTheory.Categories.category_FAM]
weqpathscomp0r [in TypeTheory.Auxiliary.Auxiliary]
weqtotal2asstor' [in TypeTheory.ALV1.CwF_def]
weq_opp_iso [in TypeTheory.OtherDefs.CwF_Pitts_completion]
weq_rep_map_weakRelUnivYo [in TypeTheory.ALV1.RepMaps]
weq_cwf_rep_map [in TypeTheory.ALV1.RepMaps]
weq_exchange_args [in TypeTheory.Auxiliary.Auxiliary]
weq_standalone_to_regrouped [in TypeTheory.ALV1.TypeCat_Reassoc]
weq_structural_regrouped [in TypeTheory.ALV1.TypeCat_Reassoc]
weq_structural_q_mor_data [in TypeTheory.ALV1.TypeCat_Reassoc]
weq_structural_obj_ext [in TypeTheory.ALV1.TypeCat_Reassoc]
weq_structural_pshf [in TypeTheory.ALV1.TypeCat_Reassoc]
weq_structural_pshf_axioms [in TypeTheory.ALV1.TypeCat_Reassoc]
weq_structural_pshf_data [in TypeTheory.ALV1.TypeCat_Reassoc]
weq_standalone_structural_explicit [in TypeTheory.ALV1.TypeCat_Reassoc]
weq_standalone_structural [in TypeTheory.ALV1.TypeCat_Reassoc]
weq_eq_obj_ext_iso_alt [in TypeTheory.ALV2.CwF_SplitTypeCat_Univalent_Cats]
weq_rep_map_cwf_Rezk [in TypeTheory.Articles.ALV_2017]
weq_sty_cwf [in TypeTheory.Articles.ALV_2017]
weq_cwf'_sty' [in TypeTheory.Articles.ALV_2017]
weq_standalone_to_regrouped [in TypeTheory.Articles.ALV_2017]
weq_cwf_cwf'_structure [in TypeTheory.Articles.ALV_2017]
weq_weak_relative_universe_transfer [in TypeTheory.ALV1.RelativeUniverses]
weq_rel_universe_structure_ [in TypeTheory.ALV1.RelativeUniverses]
weq_cwf'_sty' [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
weq_term_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Equivalence]
weq_cwf_cwf'_structure [in TypeTheory.ALV1.CwF_Defs_Equiv]
weq_rep1_representation [in TypeTheory.ALV1.CwF_Defs_Equiv]
weq_rep2_rep1_data [in TypeTheory.ALV1.CwF_Defs_Equiv]
weq_cwf'_cwf1_structure [in TypeTheory.ALV1.CwF_Defs_Equiv]
weq_rep1_cwf'_data [in TypeTheory.ALV1.CwF_Defs_Equiv]
weq_cwf_structure_RelUnivYo [in TypeTheory.ALV1.CwF_def]
weq_cwf_fiber_representation_fpullback [in TypeTheory.ALV1.CwF_def]


Y

yoneda_induction [in TypeTheory.ALV1.CwF_def]
Yo_of_qq [in TypeTheory.ALV1.CwF_SplitTypeCat_Maps]
yy [in TypeTheory.Auxiliary.Auxiliary]


other

αpwiso [in TypeTheory.ALV1.RelativeUniverses]
α_iso [in TypeTheory.ALV1.RelativeUniverses]
α'_iso [in TypeTheory.ALV1.RelativeUniverses]
ε_ff_split [in TypeTheory.Auxiliary.Auxiliary]
ε_inv [in TypeTheory.Displayed_Cats.Equivalences]
ε_ses_ff [in TypeTheory.Displayed_Cats.Equivalences]
ε_ses_ff_data [in TypeTheory.Displayed_Cats.Equivalences]
ε_inv_disc_fib [in TypeTheory.Displayed_Cats.Fibrations]
ε_disc_fib [in TypeTheory.Displayed_Cats.Fibrations]
η_ff_split [in TypeTheory.Auxiliary.Auxiliary]
η_inv [in TypeTheory.Displayed_Cats.Equivalences]
η_ses_ff [in TypeTheory.Displayed_Cats.Equivalences]
η_ses_ff_ax [in TypeTheory.Displayed_Cats.Equivalences]
η_ses_ff_data [in TypeTheory.Displayed_Cats.Equivalences]
η_disc_fib [in TypeTheory.Displayed_Cats.Fibrations]
π [in TypeTheory.ALV1.CwF_SplitTypeCat_Defs]
π [in TypeTheory.Instances.Presheaves]



Record Index

R

Record_Preview.type_precat_record [in TypeTheory.ALV1.TypeCat]
Record_Preview.CwDM [in TypeTheory.OtherDefs.DM]
Record_Preview.precwf_record [in TypeTheory.OtherDefs.CwF_Pitts]
Record_Preview.precwf_record [in TypeTheory.OtherDefs.CwF_Dybjer]
Record_Preview.disp_cat [in TypeTheory.Displayed_Cats.Core]



Global Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (2117 entries)
Notation Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (95 entries)
Module Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (7 entries)
Variable Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (176 entries)
Library Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (49 entries)
Lemma Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (454 entries)
Projection Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (44 entries)
Section Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (183 entries)
Abbreviation Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (15 entries)
Definition Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (1089 entries)
Record Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (5 entries)

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