Library UniMath.Combinatorics.DecSet
Decidable sets.
Gianluca Amato, Marco Maggesi, Cosimo Perini Brogi 2019-2021
Require
Import
UniMath.Foundations.PartB
.
Definition
decSet
:
UU
:=
∑
(
X
:
UU
),
isdeceq
X
.
Definition
make_decSet
(
X
:
UU
) (
i
:
isdeceq
X
):
decSet
:=
X
,,
i
.
Definition
pr1decSet
:
decSet
→
UU
:=
pr1
.
Coercion
pr1decSet
:
decSet
>->
UU
.
Definition
decproperty
(
X
:
decSet
) :=
pr2
X
.