Theorems · Theorem · ring theory

AddMonoidAlgebra.mapDomainNonUnitalAlgHom_apply

∀ (R : Type u_1) (A : Type u_4) {M : Type u_7} {N : Type u_8} [inst : CommSemiring R] [inst_1 : Semiring A]
  [inst_2 : Algebra R A] [inst_3 : Add M] [inst_4 : Add N] (f : M →ₙ+ N) (a : AddMonoidAlgebra A M),
  (AddMonoidAlgebra.mapDomainNonUnitalAlgHom R A f) a = (AddMonoidAlgebra.mapDomainNonUnitalRingHom A f).toFun a

Defined in

Mathlib.Algebra.MonoidAlgebra.Basic

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommSemiringSemiringAlgebraAddAdd