Theorems · Theorem · ring theory

MonoidAlgebra.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),
  MonoidAlgebra.map f (MonoidAlgebra.single m r) = MonoidAlgebra.single m (f r)

Defined in

Mathlib.Algebra.MonoidAlgebra.MapDomain

Cited by

3 results in Mathlib

Foundations

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

Assumes

SemiringSemiring