Theorems · Theorem · ring theory

AddMonoidAlgebra.map_single

∀ {R : Type u_3} {S : Type u_4} {M : Type u_6} [inst : Semiring R] [inst_1 : Semiring S] (f : R →+ S) (r : R) (m : M),
  AddMonoidAlgebra.map f (AddMonoidAlgebra.single m r) = AddMonoidAlgebra.single m (f r)

Defined in

Mathlib.Algebra.MonoidAlgebra.MapDomain

Cited by

4 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiring