Theorems · Inductive type · category theory
CategoryTheory.ShortComplex.HasRightHomology
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] → CategoryTheory.ShortComplex C → PropA short complex S has right homology when there exists a S.RightHomologyData
- Cited by
- 125 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 4 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Limits.HasZeroMorphismsstatement · cited by 3,275
- CategoryTheory.ShortComplexstatement · cited by 1,850
Cited by155
Results whose statement or proof uses this declaration.
- CategoryTheory.ShortComplex.opcyclesstatement and proof · cited by 192
- CategoryTheory.ShortComplex.pOpcyclesstatement and proof · cited by 84
- CategoryTheory.ShortComplex.rightHomologystatement and proof · cited by 66
- CategoryTheory.ShortComplex.rightHomologyDatastatement and proof · cited by 64
- CategoryTheory.ShortComplex.opcyclesMapstatement and proof · cited by 41
- CategoryTheory.ShortComplex.fromOpcyclesstatement and proof · cited by 38
- CategoryTheory.ShortComplex.rightHomologyιstatement and proof · cited by 30
- CategoryTheory.ShortComplex.rightHomologyMapstatement and proof · cited by 27
- CategoryTheory.ShortComplex.RightHomologyData.opcyclesIsostatement and proof · cited by 23
- CategoryTheory.ShortComplex.descOpcyclesstatement and proof · cited by 19
- CategoryTheory.ShortComplex.RightHomologyData.rightHomologyIsostatement and proof · cited by 14
- CategoryTheory.ShortComplex.isoOpcyclesOfIsColimitstatement and proof · cited by 12