Theorems · Theorem · ring theory

AddMonoidAlgebra.range_map

∀ {R : Type u_3} {S : Type u_4} {M : Type u_6} [inst : Semiring R] [inst_1 : Semiring S] (f : R →+ S),
  Set.range (AddMonoidAlgebra.map f) = {x | ∀ (i : M), x.coeff i ∈ Set.range ⇑f}

Defined in

Mathlib.Algebra.MonoidAlgebra.MapDomain

Cited by

0 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiring