Theorems · Theorem · commutative algebra

Polynomial.le_gaussNorm

∀ {R : Type u_1} {F : Type u_2} [inst : Semiring R] [inst_1 : FunLike F R ℝ] (v : F) {c : ℝ} (p : Polynomial R)
  [ZeroHomClass F R ℝ] [NonnegHomClass F R ℝ], 0 ≤ c → ∀ (i : ℕ), v (p.coeff i) * c ^ i ≤ Polynomial.gaussNorm v c p

Defined in

Mathlib.RingTheory.Polynomial.GaussNorm

Cited by

4 results in Mathlib

Foundations

Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringFunLikeZeroHomClassNonnegHomClass