Theorems · Theorem · category theory

CategoryTheory.Functor.functorHomEquiv_symm_apply_app

∀ {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'))) (x : F.HomObj G A) (X : C),
  ((F.functorHomEquiv G A).symm x).app X =
    TypeCat.ofHom fun a =>
      { app := fun Y f => x.app Y ((CategoryTheory.ConcreteCategory.hom (A.map f)) a), naturality := ⋯ }

Defined in

Mathlib.CategoryTheory.Functor.FunctorHom

Cited by

0 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category