Theorems · Theorem · field theory

Polynomial.aeval_algHom

∀ {R : Type u} {A : Type z} {B : Type u_2} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Semiring B]
  [inst_3 : Algebra R A] [inst_4 : Algebra R B] (f : A →ₐ[R] B) (x : A),
  Polynomial.aeval (f x) = f.comp (Polynomial.aeval x)

Defined in

Mathlib.Algebra.Polynomial.AlgebraMap

Cited by

14 results in Mathlib

Foundations

Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringSemiringAlgebraAlgebra