Theorems · Definition · category theory

CategoryTheory.forgetEnrichmentOppositeEquivalence

(V : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} V] →
    [inst_1 : CategoryTheory.MonoidalCategory V] →
      [inst_2 : CategoryTheory.BraidedCategory V] →
        (C : Type u) →
          [inst_3 : CategoryTheory.EnrichedCategory V C] →
            CategoryTheory.ForgetEnrichment V Cᵒᵖ ≌ (CategoryTheory.ForgetEnrichment V C)ᵒᵖ

The equivalence between the underlying category of the enriched category Cᵒᵖ and the opposite of the underlying category of the enriched category C.

Defined in

Mathlib.CategoryTheory.Enriched.Opposite

Cited by

4 results in Mathlib

Foundations

Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.EnrichedCategory