Theorems · Definition · category theory
CochainComplex.HomComplex.CohomologyClass.mk
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Preadditive C] →
{K L : CochainComplex C ℤ} →
{n : ℤ} → CochainComplex.HomComplex.Cocycle K L n → CochainComplex.HomComplex.CohomologyClass K L nThe cohomology class of a cocycle.
- Cited by
- 34 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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.Preadditivestatement and proof · cited by 3,309
- CochainComplexstatement and proof · cited by 1,016
- CochainComplex.HomComplex.Cocyclestatement and proof · cited by 130
- CochainComplex.HomComplex.CohomologyClassstatement · cited by 49
- QuotientAddGroup.leftRelproof · cited by 34
- CochainComplex.HomComplex.coboundariesproof · cited by 7
Cited by37
Results whose statement or proof uses this declaration.
- CategoryTheory.InjectiveResolution.extMkproof · cited by 11
- CategoryTheory.ProjectiveResolution.extMkproof · cited by 11
- CochainComplex.HomComplex.CohomologyClass.mk_surjectivestatement · cited by 7
- CochainComplex.HomComplex.CohomologyClass.equiv_toSmallShiftedHom_mkstatement · cited by 4
- CategoryTheory.InjectiveResolution.extEquivCohomologyClass_symm_mk_homstatement and proof · cited by 3
- CategoryTheory.ProjectiveResolution.extEquivCohomologyClass_symm_mk_homstatement and proof · cited by 3
- CochainComplex.HomComplex.CohomologyClass.mkAddMonoidHomproof · cited by 2
- CochainComplex.HomComplex.CohomologyClass.mk_eq_zero_iffstatement · cited by 2
- CochainComplex.HomComplex.CohomologyClass.toHom_bijectiveproof · cited by 2
- CategoryTheory.InjectiveResolution.extEquivCohomologyClass_extMkstatement and proof · cited by 1
- CategoryTheory.ProjectiveResolution.extEquivCohomologyClass_extMkstatement and proof · cited by 1
- CategoryTheory.InjectiveResolution.extEquivCohomologyClass_symm_addproof · cited by 1