Theorems · Theorem · field theory

Polynomial.aeval_eq_sum_range

∀ {R : Type u} {S : Type v} [inst : CommSemiring R] [inst_1 : Semiring S] [inst_2 : Algebra R S] {p : Polynomial R}
  (x : S), (Polynomial.aeval x) p = ∑ i ∈ Finset.range (p.natDegree + 1), p.coeff i • x ^ i

Defined in

Mathlib.Algebra.Polynomial.AlgebraMap

Cited by

9 results in Mathlib

Foundations

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

Assumes

CommSemiringSemiringAlgebra