Theorems · Definition · category theory

CategoryTheory.ConcreteCategory.homEquiv

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {FC : C → C → Type u_1} →
      {CC : C → Type w} →
        [inst_1 : (X Y : C) → FunLike (FC X Y) (CC X) (CC Y)] →
          [inst_2 : CategoryTheory.ConcreteCategory C FC] → {X Y : C} → (X ⟶ Y) ≃ CategoryTheory.ToHom X Y

ConcreteCategory.hom bundled as an Equiv.

Defined in

Mathlib.CategoryTheory.ConcreteCategory.Basic

Cited by

1 results in Mathlib

Foundations

Depth 10 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryFunLikeCategoryTheory.ConcreteCategory