Theorems · Theorem · category theory

CategoryTheory.eHomWhiskerLeft_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 : C)
  {Y Y' Y'' : C} (g : Y ⟶ Y') (g' : Y' ⟶ Y''),
  CategoryTheory.eHomWhiskerLeft V X (CategoryTheory.CategoryStruct.comp g g') =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.eHomWhiskerLeft V X g) (CategoryTheory.eHomWhiskerLeft V X g')

Defined in

Mathlib.CategoryTheory.Enriched.Ordinary.Basic

Cited by

2 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.EnrichedOrdinaryCategory