Theorems · Theorem · category theory

CategoryTheory.Functor.functorHom_ext_iff

∀ {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} {X : C} {x y : (F.functorHom G).obj X},
  x = y ↔ ∀ (Y : C) (f : X ⟶ Y), x.app Y f = y.app Y f

Defined in

Mathlib.CategoryTheory.Functor.FunctorHom

Cited by

0 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category