Theorems · Theorem · group theory
Rep.indCoindNatIso_inv_app
∀ (k : Type u) {G : Type v} [inst : CommRing k] [inst_1 : Group G] (S : Subgroup G)
[inst_2 : DecidableRel ⇑(QuotientGroup.rightRel S)] [inst_3 : S.FiniteIndex] (X : Rep.{max u w, u, v} k ↥S),
(Rep.indCoindNatIso k S).inv.app X = X.indCoindIso.inv- Defined in
- Mathlib.RepresentationTheory.FiniteIndex
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
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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.Functorstatement · cited by 16,252
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Repstatement and proof · cited by 843
- Subgroup.subtypestatement · cited by 185
- Subgroup.FiniteIndexstatement and proof · cited by 113
- QuotientGroup.rightRelstatement · cited by 44
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