Theorems · Definition · category theory
CategoryTheory.ShortComplex.LeftHomologyData.H
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] → {S : CategoryTheory.ShortComplex C} → S.LeftHomologyData → Ca choice of cokernel of the induced morphism S.f' : S.X₁ ⟶ K
- Cited by
- 236 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 5 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.LeftHomologyDatastatement and proof · cited by 212
Cited by288
Results whose statement or proof uses this declaration.
- CategoryTheory.ShortComplex.homologyproof · cited by 216
- CategoryTheory.ShortComplex.LeftHomologyData.πstatement · cited by 106
- CategoryTheory.ShortComplex.leftHomologyproof · cited by 66
- CategoryTheory.ShortComplex.leftHomologyMap'statement · cited by 50
- CategoryTheory.ShortComplex.HomologyData.isostatement · cited by 45
- CategoryTheory.ShortComplex.LeftHomologyMapData.φHstatement · cited by 45
- CategoryTheory.ShortComplex.LeftHomologyData.homologyIsostatement · cited by 34
- CategoryTheory.ShortComplex.LeftHomologyData.mapproof · cited by 25
- CategoryTheory.ShortComplex.leftRightHomologyComparison'statement · cited by 20
- CategoryTheory.ShortComplex.exact_of_isoproof · cited by 18
- CategoryTheory.ShortComplex.homologyMap'statement · cited by 16
- CategoryTheory.ShortComplex.LeftHomologyMapData.leftHomologyMap'_eqstatement · cited by 15
Showing the 200 most cited of 288.