Theorems · Theorem · group theory
Representation.norm_ofDistribMulAction_eq
∀ {k : Type u_1} {A : Type u_3} [inst : Semiring k] [inst_1 : AddCommMonoid A] [inst_2 : Module k A] {G : Type u_4}
[inst_3 : Group G] [inst_4 : Fintype G] [inst_5 : DistribMulAction G A] [inst_6 : SMulCommClass G k A] (x : A),
(Representation.ofDistribMulAction k G A).norm x = ∑ g, g • x- Defined in
- Mathlib.RepresentationTheory.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Quot.sound
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Cites16
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
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Fintypestatement and proof · cited by 7,736
- Groupstatement and proof · cited by 6,238
- Finset.sumstatement and proof · cited by 5,195
- Finset.univstatement and proof · cited by 3,473
- SMulCommClassstatement and proof · cited by 1,927
- Module.Endstatement · cited by 774
- DistribMulActionstatement and proof · cited by 584
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