Theorems · Theorem · group theory
Representation.ofMulAction_self_smul_eq_mul
Deprecated since 2026-06-18Use Representation.asAlgebraHom_ofMulAction_smul_eq_mul instead.
∀ {k : Type u_1} {G : Type u_2} [inst : CommSemiring k] [inst_1 : Group G] (x y : MonoidAlgebra k G),
((Representation.ofMulAction k G G).asAlgebraHom x) y = x * yAlias of Representation.asAlgebraHom_ofMulAction_smul_eq_mul.
- Defined in
- Mathlib.RepresentationTheory.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringGroup
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement · cited by 10,911
- Groupstatement · cited by 6,238
- AlgHomstatement · cited by 3,236
- Module.Endstatement · cited by 774
- MonoidAlgebrastatement · cited by 590
- Representation.ofMulActionstatement · cited by 15
- Representation.asAlgebraHomstatement · cited by 14
- Representation.asAlgebraHom_ofMulAction_smul_eq_mulproof · cited by 1
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