Theorems · Definition · category theory
CategoryTheory.forgetEnrichmentOppositeEquivalence.inverse
(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.Functor (CategoryTheory.ForgetEnrichment V C)ᵒᵖ (CategoryTheory.ForgetEnrichment V Cᵒᵖ)The functor going from the opposite of the underlying category of the enriched category C
to the underlying category of the enriched category Cᵒᵖ.
- Defined in
- Mathlib.CategoryTheory.Enriched.Opposite
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- Quiver.Hom.unopproof · cited by 903
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.EnrichedCategorystatement and proof · cited by 99
- CategoryTheory.ForgetEnrichmentstatement and proof · cited by 50
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.forgetEnrichmentOppositeEquivalenceproof · cited by 4
- CategoryTheory.forgetEnrichmentOppositeEquivalence_unitIsostatement · cited by 0
- CategoryTheory.forgetEnrichmentOppositeEquivalence_counitIsostatement · cited by 0
- CategoryTheory.forgetEnrichmentOppositeEquivalence_inversestatement · cited by 0