Theorems · Theorem · category theory

CategoryTheory.Limits.ColimitPresentation.Total.Hom.ext

∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {J : Type u_1} {I : J → Type u_2}
  {inst_1 : CategoryTheory.Category.{v_1, u_1} J} {inst_2 : (j : J) → CategoryTheory.Category.{u_3, u_2} (I j)}
  {D : CategoryTheory.Functor J C} {P : (j : J) → CategoryTheory.Limits.ColimitPresentation (I j) (D.obj j)}
  {k l : CategoryTheory.Limits.ColimitPresentation.Total P} {x y : k.Hom l}, x.base = y.base → x.hom = y.hom → x = y

Defined in

Mathlib.CategoryTheory.Presentable.ColimitPresentation

Cited by

1 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound