Theorems · Theorem · category theory

CategoryTheory.Bicategory.Prod.swap_mapId_inv

∀ (B : Type u₁) [inst : CategoryTheory.Bicategory B] (C : Type u₂) [inst_1 : CategoryTheory.Bicategory C] (x : B × C),
  ((CategoryTheory.Bicategory.Prod.swap B C).mapId x).inv =
    CategoryTheory.Prod.mkHom (CategoryTheory.CategoryStruct.id (CategoryTheory.CategoryStruct.id x.2))
      (CategoryTheory.CategoryStruct.id (CategoryTheory.CategoryStruct.id x.1))

Defined in

Mathlib.CategoryTheory.Bicategory.Product

Cited by

0 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory