Theorems · Definition · category theory
CategoryTheory.ShortComplex.Splitting.rightHomologyData
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
[inst_1 : CategoryTheory.Preadditive C] →
{S : CategoryTheory.ShortComplex C} → [CategoryTheory.Limits.HasZeroObject C] → S.Splitting → S.RightHomologyDataThe right homology data on a short complex equipped with a splitting.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- CategoryTheory.Limits.Cocone.ptproof · cited by 1,354
- CategoryTheory.Limits.HasZeroObjectstatement and proof · cited by 1,298
- CategoryTheory.ShortComplex.X₂proof · cited by 1,115
- CategoryTheory.ShortComplex.X₃proof · cited by 876
- CategoryTheory.Limits.IsColimitproof · cited by 773
- CategoryTheory.Limits.IsLimitproof · cited by 664
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.ShortComplex.Splitting.homologyDataproof · cited by 4
- CategoryTheory.ShortComplex.Splitting.homologyData_rightstatement · cited by 0
- CategoryTheory.ShortComplex.Splitting.rightHomologyData_Hstatement and proof · cited by 0
- CategoryTheory.ShortComplex.Splitting.rightHomologyData_Qstatement and proof · cited by 0
- CategoryTheory.ShortComplex.Splitting.rightHomologyData_pstatement and proof · cited by 0
- CategoryTheory.ShortComplex.Splitting.rightHomologyData_ιstatement and proof · cited by 0