∀ {R : Type u_1} {S : Type u_2} {M : Type u_7} [inst : CommMonoid M] [inst_1 : CommSemiring R] [inst_2 : CommSemiring S]
  [inst_3 : Algebra R S],
  MonoidAlgebra.algebraMonoidAlgebra = (MonoidAlgebra.mapRangeRingHom M (algebraMap R S)).toAlgebra