Binary operations on unordered pairs of types

Content created by Fredrik Bakke, Jonathan Prieto-Cubides and Egbert Rijke.

Created on 2022-05-01.
Last modified on 2023-06-08.

module foundation.binary-operations-unordered-pairs-of-types where
Imports
open import foundation.products-unordered-pairs-of-types
open import foundation.universe-levels
open import foundation.unordered-pairs

Idea

A binary operation on an unordered pair of types A indexed by a 2-element type I is a map ((i : I) → A i) → B.

Definition

binary-operation-unordered-pair-types :
  {l1 l2 : Level} (A : unordered-pair (UU l1)) (B : UU l2)  UU (l1  l2)
binary-operation-unordered-pair-types A B = product-unordered-pair-types A  B

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