Theorems · Theorem · field theory

Polynomial.aeval_monomial

∀ {R : Type u} {A : Type z} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] (x : A) {n : ℕ}
  {r : R}, (Polynomial.aeval x) ((Polynomial.monomial n) r) = (algebraMap R A) r * x ^ n

Defined in

Mathlib.Algebra.Polynomial.AlgebraMap

Cited by

14 results in Mathlib

Foundations

Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebra