Theorems · Theorem · category theory

CategoryTheory.Limits.CokernelCofork.IsColimit.isZero_of_epi

∀ {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} (hc : CategoryTheory.Limits.IsColimit c)
  [CategoryTheory.Epi f], CategoryTheory.Limits.IsZero c.pt

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Kernels

Cited by

3 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Epi