Theorems · Definition · category theory

CategoryTheory.Enriched.FunctorCategory.HasEnrichedHom

(V : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} V] →
    [inst_1 : CategoryTheory.MonoidalCategory V] →
      {C : Type u₂} →
        [inst_2 : CategoryTheory.Category.{v₂, u₂} C] →
          {J : Type u₃} →
            [inst_3 : CategoryTheory.Category.{v₃, u₃} J] →
              [CategoryTheory.EnrichedOrdinaryCategory V C] →
                CategoryTheory.Functor J C → CategoryTheory.Functor J C → Prop

The condition that the end diagram V F₁ F₂ exists, see enrichedHom.

Defined in

Mathlib.CategoryTheory.Enriched.FunctorCategory

Cited by

30 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.EnrichedOrdinaryCategory