Theorems · Theorem · category theory
CategoryTheory.ShortComplex.RightHomologyData.homologyIso_rightHomologyData
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
(S : CategoryTheory.ShortComplex C) [inst_2 : S.HasHomology],
S.rightHomologyData.homologyIso = S.rightHomologyIso.symm- Cited by
- 3 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- CategoryTheory.Iso.symmstatement · cited by 993
- CategoryTheory.Iso.reflproof · cited by 727
- CategoryTheory.ShortComplex.HasHomologystatement and proof · cited by 253
- CategoryTheory.ShortComplex.homologystatement · cited by 216
- CategoryTheory.Iso.extproof · cited by 166
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.ShortComplex.leftRightHomologyComparison_facproof · cited by 2
- CategoryTheory.ShortComplex.rightHomologyIso_hom_naturalityproof · cited by 1
- CategoryTheory.ShortComplex.rightHomologyIso_inv_naturalityproof · cited by 1