Theorems · Theorem · ring theory

AddMonoidAlgebra.map_map

∀ {R : Type u_3} {S : Type u_4} {T : Type u_5} {M : Type u_6} [inst : Semiring R] [inst_1 : Semiring S]
  [inst_2 : Semiring T] (f : S →+ T) (g : R →+ S) (x : AddMonoidAlgebra R M),
  AddMonoidAlgebra.map f (AddMonoidAlgebra.map g x) = AddMonoidAlgebra.map (f.comp g) x

Defined in

Mathlib.Algebra.MonoidAlgebra.MapDomain

Cited by

1 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringSemiring