Theorems · Theorem · ring theory

AddMonoidAlgebra.mapRingHom_single

∀ {R : Type u_3} {S : Type u_4} {M : Type u_6} [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : AddMonoid M]
  (f : R →+* S) (a : M) (b : R),
  (AddMonoidAlgebra.mapRingHom M f) (AddMonoidAlgebra.single a b) = AddMonoidAlgebra.single a (f b)

Defined in

Mathlib.Algebra.MonoidAlgebra.MapDomain

Cited by

13 results in Mathlib

Foundations

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

Assumes

SemiringSemiringAddMonoid