Theorems · Definition · category theory
CategoryTheory.ShortComplex.rightHomologyData
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
(S : CategoryTheory.ShortComplex C) → [S.HasRightHomology] → S.RightHomologyDataA chosen S.RightHomologyData for a short complex S that has right homology
- Cited by
- 64 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Nonempty.someproof · cited by 340
- CategoryTheory.ShortComplex.RightHomologyDatastatement · cited by 211
- CategoryTheory.ShortComplex.HasRightHomologystatement and proof · cited by 125
- CategoryTheory.ShortComplex.HasRightHomology.conditionproof · cited by 0
Cited by82
Results whose statement or proof uses this declaration.
- CategoryTheory.ShortComplex.opcyclesproof · cited by 192
- CategoryTheory.ShortComplex.pOpcyclesproof · cited by 84
- CategoryTheory.ShortComplex.rightHomologyproof · cited by 66
- CategoryTheory.ShortComplex.opcyclesMapproof · cited by 41
- CategoryTheory.ShortComplex.fromOpcyclesproof · cited by 38
- CategoryTheory.ShortComplex.rightHomologyιproof · cited by 30
- CategoryTheory.ShortComplex.rightHomologyMapproof · cited by 27
- CategoryTheory.ShortComplex.RightHomologyData.opcyclesIsoproof · cited by 23
- CategoryTheory.ShortComplex.rightHomologyIsoproof · cited by 20
- CategoryTheory.ShortComplex.descOpcyclesproof · cited by 19
- CategoryTheory.ShortComplex.RightHomologyData.rightHomologyIsoproof · cited by 14
- CategoryTheory.ShortComplex.p_descOpcyclesproof · cited by 9