Theorems · Theorem · ring theory
MonoidAlgebra.smul_of
∀ {R : Type u_1} {M : Type u_3} [inst : Semiring R] [inst_1 : MulOneClass M] (m : M) (r : R),
r • (MonoidAlgebra.of R M) m = MonoidAlgebra.single m r- Defined in
- Mathlib.Algebra.MonoidAlgebra.Module
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringMulOneClass
Around this declaration
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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
- Semiringstatement and proof · cited by 13,802
- mul_oneproof · cited by 3,885
- MonoidHomstatement · cited by 3,629
- MulOneClassstatement and proof · cited by 1,018
- MonoidAlgebrastatement · cited by 590
- MonoidAlgebra.singlestatement and proof · cited by 253
- MonoidAlgebra.ofstatement · cited by 30
- MonoidAlgebra.of_applyproof · cited by 26
- MonoidAlgebra.smul_singleproof · cited by 10
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