Theorems · Theorem · ring theory
MonoidAlgebra.single_eq_algebraMap_mul_of
∀ {R : Type u_1} {M : Type u_7} [inst : CommSemiring R] [inst_1 : Monoid M] (m : M) (r : R),
MonoidAlgebra.single m r = (algebraMap R (MonoidAlgebra R M)) r * (MonoidAlgebra.of R M) m- Defined in
- Mathlib.Algebra.MonoidAlgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringMonoid
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement · cited by 4,706
- Monoidstatement and proof · cited by 3,887
- mul_oneproof · cited by 3,885
- MonoidHomstatement · cited by 3,629
- one_mulproof · cited by 2,841
- MonoidAlgebrastatement · cited by 590
- MonoidAlgebra.singlestatement and proof · cited by 253
- MonoidAlgebra.ofstatement · cited by 30
- MonoidAlgebra.of_applyproof · cited by 26
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