Theorems · Theorem · group theory
groupHomology.chainsMap_id_f_hom_eq_mapRange
∀ {k G : Type u} [inst : CommRing k] [inst_1 : Group G] {A B : Rep.{u, u, u} k G} (i : ℕ) (φ : A ⟶ B),
ModuleCat.Hom.hom ((groupHomology.chainsMap (MonoidHom.id G) φ).f i) =
Finsupp.mapRange.linearMap (Rep.Hom.hom φ).toLinearMap- Cited by
- 5 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.
Cites33
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- RingHom.idstatement · cited by 18,349
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- Groupstatement and proof · cited by 6,238
- HomologicalComplex.Xstatement · cited by 1,839
- ModuleCatstatement · cited by 1,429
- ModuleCat.carrierstatement · cited by 997
- Finsupp.singleproof · cited by 943
- HomologicalComplex.Hom.fstatement · cited by 845
Cited by5
Results whose statement or proof uses this declaration.
- groupHomology.map_chainsFunctor_shortExactproof · cited by 8
- groupHomology.δ_applyproof · cited by 2
- groupHomology.δ₀_applyproof · cited by 0
- groupHomology.δ₁_applyproof · cited by 0
- tateComplex.map_addproof · cited by 0