Theorems · Theorem · category theory

CategoryTheory.Limits.end_.hom_ext

∀ {J : Type u} [inst : CategoryTheory.Category.{v, u} J] {C : Type u'} [inst_1 : CategoryTheory.Category.{v', u'} C]
  {F : CategoryTheory.Functor Jᵒᵖ (CategoryTheory.Functor J C)} [inst_2 : CategoryTheory.Limits.HasEnd F] {X : C}
  {f g : X ⟶ CategoryTheory.Limits.end_ F},
  (∀ (j : J),
      CategoryTheory.CategoryStruct.comp f (CategoryTheory.Limits.end_.π F j) =
        CategoryTheory.CategoryStruct.comp g (CategoryTheory.Limits.end_.π F j)) →
    f = g

Defined in

Mathlib.CategoryTheory.Limits.Shapes.End

Cited by

11 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasEnd