Theorems · Definition · category theory

CategoryTheory.Join.mapPairId

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        CategoryTheory.Join.mapPair (CategoryTheory.Functor.id C) (CategoryTheory.Functor.id D) ≅
          CategoryTheory.Functor.id (CategoryTheory.Join C D)

mapPair respects identities

Defined in

Mathlib.CategoryTheory.Join.Basic

Cited by

8 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category