Theorems · Definition · category theory

CategoryTheory.eHomEquiv

(V : Type u') →
  [inst : CategoryTheory.Category.{v', u'} V] →
    [inst_1 : CategoryTheory.MonoidalCategory V] →
      {C : Type u} →
        [inst_2 : CategoryTheory.Category.{v, u} C] →
          [inst_3 : CategoryTheory.EnrichedOrdinaryCategory V C] →
            {X Y : C} → (X ⟶ Y) ≃ (CategoryTheory.MonoidalCategoryStruct.tensorUnit V ⟶ X ⟶[V] Y)

The bijection (X ⟶ Y) ≃ (𝟙_ V ⟶ (X ⟶[V] Y)) given by a EnrichedOrdinaryCategory instance.

Defined in

Mathlib.CategoryTheory.Enriched.Ordinary.Basic

Cited by

25 results in Mathlib

Foundations

Depth 5 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.EnrichedOrdinaryCategory