Theorems · Definition · category theory
CategoryTheory.eHomFunctor
(V : Type u') →
[inst : CategoryTheory.Category.{v', u'} V] →
[inst_1 : CategoryTheory.MonoidalCategory V] →
(C : Type u) →
[inst_2 : CategoryTheory.Category.{v, u} C] →
[CategoryTheory.EnrichedOrdinaryCategory V C] → CategoryTheory.Functor Cᵒᵖ (CategoryTheory.Functor C V)The bifunctor Cᵒᵖ ⥤ C ⥤ V which sends X : Cᵒᵖ and Y : C to X ⟶[V] Y.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Opposite.unopproof · cited by 2,231
- Quiver.Hom.unopproof · cited by 903
- CategoryTheory.EnrichedCategory.Homproof · cited by 114
- CategoryTheory.EnrichedOrdinaryCategorystatement and proof · cited by 109
- CategoryTheory.eHomWhiskerLeftproof · cited by 26
- CategoryTheory.eHomWhiskerRightproof · cited by 25
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.Enriched.FunctorCategory.diagramproof · cited by 17
- CategoryTheory.eCoyonedaproof · cited by 1
- CategoryTheory.SimplicialCategory.sHomFunctorproof · cited by 0
- CategoryTheory.MonoidalClosed.FunctorCategory.closedproof · cited by 0
- CategoryTheory.Enriched.FunctorCategory.diagram_map_appstatement · cited by 0
- CategoryTheory.Enriched.FunctorCategory.diagram_obj_mapstatement · cited by 0
- CategoryTheory.eHomFunctor_map_appstatement and proof · cited by 0
- CategoryTheory.eHomFunctor_obj_mapstatement and proof · cited by 0
- CategoryTheory.eHomFunctor_obj_objstatement and proof · cited by 0
- CategoryTheory.MonoidalClosed.FunctorCategory.adjstatement · cited by 0