Theorems · Theorem · category theory

CategoryTheory.Limits.isCokernelEpiComp_desc

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] {X Y : C}
  {f : X ⟶ Y} {c : CategoryTheory.Limits.CokernelCofork f} (i : CategoryTheory.Limits.IsColimit c) {W : C} (g : W ⟶ X)
  [hg : CategoryTheory.Epi g] {h : W ⟶ Y} (hh : h = CategoryTheory.CategoryStruct.comp g f)
  (s : CategoryTheory.Limits.CokernelCofork h),
  (CategoryTheory.Limits.isCokernelEpiComp i g hh).desc s =
    i.desc (CategoryTheory.Limits.Cofork.ofπ (CategoryTheory.Limits.Cofork.π s) ⋯)

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Kernels

Cited by

0 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Epi