Theorems · Theorem · group theory
groupHomology.coinfNatTrans_app
∀ (k : Type u) {G : Type u} [inst : CommRing k] [inst_1 : Group G] (S : Subgroup G) [inst_2 : S.Normal] (n : ℕ)
(A : Rep.{u, u, u} k G),
(groupHomology.coinfNatTrans k S n).app A = groupHomology.map (QuotientGroup.mk' S) (A.toCoinvariantsMkQ S) n- Cited by
- 0 results in Mathlib
- Foundations
- Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingGroupSubgroup.Normal
Around this declaration
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- HasQuotient.Quotientstatement · cited by 2,301
- ModuleCatstatement · cited by 1,429
- Repstatement and proof · cited by 843
- Subgroup.Normalstatement and proof · cited by 334
- QuotientGroup.mk'statement · cited by 90
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