Theorems · Theorem · ring theory

SkewMonoidAlgebra.single_algebraMap_eq_algebraMap_mul_of

∀ {k : Type u_1} {G : Type u_2} [inst : Monoid G] [inst_1 : CommSemiring k] {A : Type u_3} [inst_2 : Semiring A]
  [inst_3 : Algebra k A] (a : G) (b : k) [inst_4 : MulSemiringAction G A] [inst_5 : SMulCommClass G k A],
  SkewMonoidAlgebra.single a ((algebraMap k A) b) =
    (algebraMap k (SkewMonoidAlgebra A G)) b * (SkewMonoidAlgebra.of A G) a

Defined in

Mathlib.Algebra.SkewMonoidAlgebra.Basic

Cited by

0 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MonoidCommSemiringSemiringAlgebraMulSemiringActionSMulCommClass