Theorems · Definition · category theory

CategoryTheory.Functor.homObjFunctor

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {D : Type u'} →
      [inst_1 : CategoryTheory.Category.{v', u'} D] →
        CategoryTheory.Functor C D →
          CategoryTheory.Functor C D → CategoryTheory.Functor (CategoryTheory.Functor C (Type w))ᵒᵖ (Type (max w v' u))

The contravariant functor taking A : C ⥤ Type w to HomObj F G A, i.e. Hom(F ⊗ -, G).

Defined in

Mathlib.CategoryTheory.Functor.FunctorHom

Cited by

10 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category