Theorems · Definition · category theory
CategoryTheory.ShortComplex.HomologyData.right
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
{S : CategoryTheory.ShortComplex C} → S.HomologyData → S.RightHomologyDataa right homology data
- Cited by
- 99 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 6 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- CategoryTheory.ShortComplex.RightHomologyDatastatement · cited by 211
- CategoryTheory.ShortComplex.HomologyDatastatement and proof · cited by 102
Cited by124
Results whose statement or proof uses this declaration.
- CategoryTheory.ShortComplex.HomologyData.isostatement · cited by 45
- CategoryTheory.ShortComplex.HomologyMapData.rightstatement · cited by 23
- CategoryTheory.ShortComplex.rightHomologyIsoproof · cited by 20
- CategoryTheory.ShortComplex.HomologyData.mapstatement and proof · cited by 9
- HomologicalComplex.extendOpcyclesIsoproof · cited by 9
- CategoryTheory.Abelian.SpectralObject.opcyclesIsoHproof · cited by 8
- CategoryTheory.ShortComplex.HomologyData.opproof · cited by 7
- CategoryTheory.ShortComplex.mapHomologyIso'proof · cited by 7
- CategoryTheory.ShortComplex.HomologyData.unopproof · cited by 6
- CategoryTheory.ShortComplex.HomologyData.ofEpiOfIsIsoOfMonoproof · cited by 5
- CategoryTheory.ShortComplex.HomologyData.ofEpiOfIsIsoOfMono'proof · cited by 5
- CategoryTheory.ShortComplex.HomologyData.commstatement · cited by 4