Theorems · Definition · category theory

CategoryTheory.Functor.functorHomEquiv

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {D : Type u'} →
      [inst_1 : CategoryTheory.Category.{v', u'} D] →
        (F G : CategoryTheory.Functor C D) →
          (A : CategoryTheory.Functor C (Type (max u v v'))) → (A ⟶ F.functorHom G) ≃ F.HomObj G A

The equivalence (A ⟶ F.functorHom G) ≃ HomObj F G A.

Defined in

Mathlib.CategoryTheory.Functor.FunctorHom

Cited by

2 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category