Theorems · Theorem · group theory
TopRep.homogeneousCochains.d_eq
∀ {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),
X.homogeneousCochains.d i (i + 1) = (TopRep.invariantsFunctor k G).map (X.d (i + 1))- 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.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- TopologicalSpacestatement and proof · cited by 24,529
- CategoryTheory.Functor.mapstatement · cited by 8,698
- Ringstatement and proof · cited by 7,463
- Groupstatement and proof · cited by 6,238
- HomologicalComplex.Xstatement · cited by 1,839
- ComplexShape.upstatement · cited by 1,123
- HomologicalComplex.dstatement · cited by 598
- IsTopologicalGroupstatement and proof · cited by 469
- TopRepstatement and proof · cited by 54
- TopModuleCatstatement · cited by 45
- TopRep.Hom.homproof · cited by 33
Cited by1
Results whose statement or proof uses this declaration.
- TopRep.homogeneousCochains.d_applyproof · cited by 2