Theorems · Theorem · group theory
groupCohomology.iCocycles_mk
∀ {k G : Type u} [inst : CommRing k] [inst_1 : Group G] {A : Rep.{u, u, u} k G} {n : ℕ} (f : (Fin n → G) → ↑A)
(h : (CategoryTheory.ConcreteCategory.hom (inhomogeneousCochains.d A n)) f = 0),
(CategoryTheory.ConcreteCategory.hom (groupCohomology.iCocycles A n)) (groupCohomology.cocyclesMk f h) = f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- CategoryTheory.Functor.mapproof · cited by 8,698
- Groupstatement and proof · cited by 6,238
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- HomologicalComplex.Xstatement · cited by 1,839
- ModuleCatstatement and proof · cited by 1,429
- ComplexShape.upstatement · cited by 1,123
- ModuleCat.carrierstatement · cited by 997
- Repstatement and proof · cited by 843
Cited by1
Results whose statement or proof uses this declaration.
- groupCohomology.cocyclesMk₀_eqproof · cited by 1