Theorems · Definition · category theory

CategoryTheory.ShortComplex.LeftHomologyData.unop

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      {S : CategoryTheory.ShortComplex Cᵒᵖ} → S.LeftHomologyData → S.unop.RightHomologyData

A left homology data for a short complex S in the opposite category induces a right homology data for S.unop.

Defined in

Mathlib.Algebra.Homology.ShortComplex.RightHomology

Cited by

10 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms