Theorems · Theorem · ring theory

MonoidAlgebra.mapDomainLinearMap_single

∀ {R : Type u_1} {S : Type u_2} {M : Type u_3} {N : Type u_4} [inst : Semiring R] [inst_1 : Semiring S]
  [inst_2 : Module R S] (f : M → N) (s : S) (m : M),
  (MonoidAlgebra.mapDomainLinearMap R S f) (MonoidAlgebra.single m s) = MonoidAlgebra.single (f m) s

Defined in

Mathlib.Algebra.MonoidAlgebra.Module

Cited by

13 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringModule