Theorems · Definition · category theory

CategoryTheory.ShortComplex.RightHomologyData.ofIso

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      {S₁ S₂ : CategoryTheory.ShortComplex C} → (S₁ ≅ S₂) → S₁.RightHomologyData → S₂.RightHomologyData

If e : S₁ ≅ S₂ is an isomorphism of short complexes and h₁ : RightHomologyData S₁, this is the right homology data for S₂ deduced from the isomorphism.

Defined in

Mathlib.Algebra.Homology.ShortComplex.RightHomology

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms