Theorems · Definition · category theory

CategoryTheory.ForgetEnrichment.equivFunctor

(V : Type u') →
  [inst : CategoryTheory.Category.{v', u'} V] →
    [inst_1 : CategoryTheory.MonoidalCategory V] →
      (D : Type u'') →
        [inst_2 : CategoryTheory.Category.{v'', u''} D] →
          [inst_3 : CategoryTheory.EnrichedOrdinaryCategory V D] →
            CategoryTheory.Functor (CategoryTheory.ForgetEnrichment V D) D

If D is already an enriched ordinary category, there is a canonical functor from ForgetEnrichment V D to D.

Defined in

Mathlib.CategoryTheory.Enriched.Ordinary.Basic

Cited by

5 results in Mathlib

Foundations

Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.EnrichedOrdinaryCategory