Theorems · Theorem · field theory

Polynomial.aeval_algHom_apply

∀ {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 : Type u_3} [inst_5 : FunLike F A B] [AlgHomClass F R A B] (f : F)
  (x : A) (p : Polynomial R), (Polynomial.aeval (f x)) p = f ((Polynomial.aeval x) p)

Defined in

Mathlib.Algebra.Polynomial.AlgebraMap

Cited by

31 results in Mathlib

Foundations

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

Assumes

CommSemiringSemiringSemiringAlgebraAlgebraFunLikeAlgHomClass