Theorems · Theorem · ring theory

MonoidAlgebra.single_commute

∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R] {r : R} {m : M} [inst_1 : Mul M],
  (∀ (m' : M), Commute m m') →
    (∀ (r' : R), Commute r r') → ∀ (x : MonoidAlgebra R M), Commute (MonoidAlgebra.single m r) x

Defined in

Mathlib.Algebra.MonoidAlgebra.Defs

Cited by

2 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringMul