Theorems · Definition · category theory

CategoryTheory.ShortComplex.HomologyData.ofZeros

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      (S : CategoryTheory.ShortComplex C) → S.f = 0 → S.g = 0 → S.HomologyData

When both S.f and S.g are zero, the middle object S.X₂ gives a homology data on S

Defined in

Mathlib.Algebra.Homology.ShortComplex.Homology

Cited by

10 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms