Theorems · Definition · category theory

CategoryTheory.ShortComplex.abelianImageToKernel

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Abelian C] →
      (S : CategoryTheory.ShortComplex C) → CategoryTheory.Abelian.image S.f ⟶ CategoryTheory.Limits.kernel S.g

The canonical morphism Abelian.image S.f ⟶ kernel S.g for a short complex S in an abelian category.

Defined in

Mathlib.Algebra.Homology.ShortComplex.Abelian

Cited by

4 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Abelian