Theorems · Theorem · group theory
TopRep.homogeneousCochains.d_apply
∀ {k : Type u_1} {G : Type u_2} [inst : Ring k] [inst_1 : Group G] [inst_2 : TopologicalSpace k]
[inst_3 : TopologicalSpace G] [inst_4 : IsTopologicalGroup G] (X : TopRep k G) (i : ℕ)
(σ : ↑(X.homogeneousCochains.X i).toModuleCat),
↑((TopModuleCat.Hom.hom (X.homogeneousCochains.d i (i + 1))) σ) = (TopRep.Hom.hom (X.d (i + 1))) ↑σ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 117 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
- Quiver.Homproof · cited by 32,603
- TopologicalSpacestatement and proof · cited by 24,529
- RingHom.idstatement · cited by 18,349
- Ringstatement and proof · cited by 7,463
- Submodulestatement · cited by 7,192
- Groupstatement and proof · cited by 6,238
- ContinuousLinearMapstatement · cited by 5,352
- HomologicalComplex.Xstatement and proof · cited by 1,839
- ComplexShape.upstatement · cited by 1,123
- ModuleCat.carrierstatement and proof · cited by 997
- HomologicalComplex.dstatement · cited by 598
Cited by2
Results whose statement or proof uses this declaration.
- ContinuousCohomology.cocycles₀IsoAuxproof · cited by 0
- ContinuousCohomology.cocycles₀IsoAux'proof · cited by 0