Theorems · Theorem · category theory

CategoryTheory.eHomFunctor_obj_map

∀ (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 : Cᵒᵖ)
  {X_1 Y : C} (φ : X_1 ⟶ Y),
  ((CategoryTheory.eHomFunctor V C).obj X).map φ = CategoryTheory.eHomWhiskerLeft V (Opposite.unop X) φ

Defined in

Mathlib.CategoryTheory.Enriched.Ordinary.Basic

Cited by

0 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.EnrichedOrdinaryCategory