Theorems · Theorem · ring theory

MonoidAlgebra.single_algebraMap_eq_algebraMap_mul_of

∀ {R : Type u_1} {A : Type u_4} {M : Type u_7} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
  [inst_3 : Monoid M] (m : M) (r : R),
  MonoidAlgebra.single m ((algebraMap R A) r) = (algebraMap R (MonoidAlgebra A M)) r * (MonoidAlgebra.of A 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

CommSemiringSemiringAlgebraMonoid