Theorems · Theorem · ring theory

AddMonoidAlgebra.lift_mapRingHom_algebraMap

∀ {R : Type u_1} {S : Type u_2} {A : Type u_4} {M : Type u_7} [inst : CommSemiring R] [inst_1 : AddMonoid M]
  [inst_2 : Semiring A] [inst_3 : Algebra R A] [inst_4 : CommSemiring S] [inst_5 : Algebra S A] [inst_6 : Algebra R S]
  [IsScalarTower R S A] (f : Multiplicative M →* A) (x : AddMonoidAlgebra R M),
  ((AddMonoidAlgebra.lift S A M) f) ((AddMonoidAlgebra.mapRingHom M (algebraMap R S)) x) =
    ((AddMonoidAlgebra.lift R A M) f) x

Defined in

Mathlib.Algebra.MonoidAlgebra.Basic

Cited by

1 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddMonoidSemiringAlgebraCommSemiringAlgebraAlgebraIsScalarTower