Theorems · Theorem · category theory

CategoryTheory.ShortComplex.exact_cokernel

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Abelian C] {X Y : C} (f : X ⟶ Y),
  { X₁ := X, X₂ := Y, X₃ := CategoryTheory.Limits.cokernel f, f := f, g := CategoryTheory.Limits.cokernel.π f,
      zero := ⋯ }.Exact

Defined in

Mathlib.CategoryTheory.Abelian.Exact

Cited by

9 results in Mathlib

Foundations

Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Abelian