Theorems · Definition · category theory

CategoryTheory.cokernelUnopUnop

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Abelian C] →
      {A B : Cᵒᵖ} → (g : A ⟶ B) → CategoryTheory.Limits.cokernel g.unop ≅ Opposite.unop (CategoryTheory.Limits.kernel g)

The cokernel of g.unop is the opposite of kernel g.

Defined in

Mathlib.CategoryTheory.Abelian.Opposite

Cited by

2 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Abelian