Theorems · Theorem · ring theory

MonoidAlgebra.coeff_mapRingHom

∀ {R : Type u_3} {S : Type u_4} {M : Type u_6} [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : Monoid M]
  (f : R →+* S) (x : MonoidAlgebra R M) (m : M), ((MonoidAlgebra.mapRingHom M f) x).coeff m = f (x.coeff m)

Defined in

Mathlib.Algebra.MonoidAlgebra.MapDomain

Cited by

6 results in Mathlib

Foundations

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

Assumes

SemiringSemiringMonoid