Theorems · Theorem · category theory

CategoryTheory.ForgetEnrichment.homOf_eId

∀ {C : Type u₁} (W : Type v) [inst : CategoryTheory.Category.{w, v} W] [inst_1 : CategoryTheory.MonoidalCategory W]
  [inst_2 : CategoryTheory.EnrichedCategory W C] (X : C),
  CategoryTheory.ForgetEnrichment.homOf W (CategoryTheory.eId W X) =
    CategoryTheory.CategoryStruct.id (CategoryTheory.ForgetEnrichment.of W X)

Defined in

Mathlib.CategoryTheory.Enriched.Basic

Cited by

4 results in Mathlib

Foundations

Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.EnrichedCategory