Theorems · Theorem · field theory

Polynomial.aeval_eq_aeval_map

∀ {R : Type u} {S : Type v} {T : Type w} [inst : CommSemiring R] [inst_1 : Semiring S] [inst_2 : CommSemiring T]
  [inst_3 : Algebra R S] [inst_4 : Algebra T S] {φ : R →+* T},
  (algebraMap T S).comp φ = algebraMap R S →
    ∀ (p : Polynomial R) (a : S), (Polynomial.aeval a) p = (Polynomial.aeval a) (Polynomial.map φ p)

Defined in

Mathlib.Algebra.Polynomial.AlgebraMap

Cited by

0 results in Mathlib

Foundations

Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringCommSemiringAlgebraAlgebra