Theorems · Theorem · category theory

CategoryTheory.eHom_whisker_exchange_assoc

∀ (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 X' Y Y' : C}
  (f : X ⟶ X') (g : Y ⟶ Y') {Z : V} (h : (X ⟶[V] Y') ⟶ Z),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.eHomWhiskerLeft V X' g)
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.eHomWhiskerRight V f Y') h) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.eHomWhiskerRight V f Y)
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.eHomWhiskerLeft V X g) h)

Defined in

Mathlib.CategoryTheory.Enriched.Ordinary.Basic

Cited by

1 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.EnrichedOrdinaryCategory