Theorems · Theorem · group theory
Representation.ofDistribMulAction_apply_apply
∀ {k : Type u_1} {G : Type u_2} {A : Type u_3} [inst : Semiring k] [inst_1 : Monoid G] [inst_2 : AddCommMonoid A]
[inst_3 : Module k A] [inst_4 : DistribMulAction G A] [inst_5 : SMulCommClass G k A] (g : G) (a : A),
((Representation.ofDistribMulAction k G A) g) a = g • a- 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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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- LinearMapstatement · cited by 10,215
- Monoidstatement and proof · cited by 3,887
- SMulCommClassstatement and proof · cited by 1,927
- DistribMulActionstatement and proof · cited by 584
- Representationstatement · cited by 396
- Representation.ofDistribMulActionstatement · cited by 5
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