Theorems · Theorem · category theory

CategoryTheory.Iso.eHomCongr_hom

∀ (V : Type u') [inst : CategoryTheory.Category.{v', u'} V] [inst_1 : CategoryTheory.MonoidalCategory V] {C : Type u}
  [inst_2 : CategoryTheory.Category.{v, u} C] [inst_3 : CategoryTheory.EnrichedOrdinaryCategory V C] {X Y X₁ Y₁ : C}
  (α : X ≅ X₁) (β : Y ≅ Y₁),
  (CategoryTheory.Iso.eHomCongr V α β).hom =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.eHomWhiskerRight V α.inv Y)
      (CategoryTheory.eHomWhiskerLeft V X₁ β.hom)

Defined in

Mathlib.CategoryTheory.Enriched.HomCongr

Cited by

2 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.EnrichedOrdinaryCategory