Theorems · Theorem · category theory

CategoryTheory.eHomWhiskerRight_comp

∀ (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' X'' : C}
  (f : X ⟶ X') (f' : X' ⟶ X'') (Y : C),
  CategoryTheory.eHomWhiskerRight V (CategoryTheory.CategoryStruct.comp f f') Y =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.eHomWhiskerRight V f' Y) (CategoryTheory.eHomWhiskerRight V f Y)

Defined in

Mathlib.CategoryTheory.Enriched.Ordinary.Basic

Cited by

2 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.EnrichedOrdinaryCategory