Mathlib Map

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.

Defined in
Mathlib.CategoryTheory.Enriched.Ordinary.Basic
Cited by
5 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.EnrichedOrdinaryCategory

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Enriched.FunctorCategory.diagram · cited by 17FunctorCategory.diagramCategoryTheory.eCoyoneda · cited by 1CategoryTheory.eCoyonedaCategoryTheory.SimplicialCategory.sHomFunctor · cited by 0SimplicialCategory.sHomFu…CategoryTheory.MonoidalClosed.FunctorCategory.closed · cited by 0FunctorCategory.closedCategoryTheory.Enriched.FunctorCategory.diagram_map_app · cited by 0FunctorCategory.diagram_m…CategoryTheory.Enriched.FunctorCategory.diagram_obj_map · cited by 0FunctorCategory.diagram_o…CategoryTheory.eHomFunctor_map_app · cited by 0CategoryTheory.eHomFuncto…CategoryTheory.eHomFunctor_obj_map · cited by 0CategoryTheory.eHomFuncto…CategoryTheory.eHomFunctor_obj_obj · cited by 0CategoryTheory.eHomFuncto…CategoryTheory.MonoidalClosed.FunctorCategory.adj · cited by 0FunctorCategory.adjCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorOpposite · cited by 8081OppositeCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…Opposite.unop · cited by 2231Opposite.unopQuiver.Hom.unop · cited by 903Hom.unopCategoryTheory.EnrichedCategory.Hom · cited by 114EnrichedCategory.HomCategoryTheory.EnrichedOrdinaryCategory · cited by 109CategoryTheory.EnrichedOr…CategoryTheory.eHomWhiskerLeft · cited by 26CategoryTheory.eHomWhiske…CategoryTheory.eHomWhiskerRight · cited by 25CategoryTheory.eHomWhiske…CategoryTheory.eHomFunctorCITED BYCITES

Cites11

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by10

Results whose statement or proof uses this declaration.