Theorems · Theorem · group theory
Rep.indToCoindAux_self
∀ {k : Type u} {G : Type v} [inst : CommRing k] [inst_1 : Group G] {S : Subgroup G}
[inst_2 : DecidableRel ⇑(QuotientGroup.rightRel S)] {A : Rep.{w, u, v} k ↥S} (g : G) (a : ↑A),
(A.indToCoindAux g) a g = a- Defined in
- Mathlib.RepresentationTheory.FiniteIndex
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingGroupDecidableRel
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- RingHom.idstatement and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement and proof · cited by 10,215
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- map_oneproof · cited by 861
- Repstatement and proof · cited by 843
- Rep.Vstatement and proof · cited by 695
- Rep.ρproof · cited by 356
- mul_inv_cancelproof · cited by 128
- QuotientGroup.rightRelstatement and proof · cited by 44
Cited by4
Results whose statement or proof uses this declaration.
- Rep.coindToInd_indToCoindproof · cited by 1
- Rep.indToCoindAux_snd_mul_invproof · cited by 1
- Rep.indToCoind_coindToIndproof · cited by 1
- Rep.indToCoindAux_commproof · cited by 0