Theorems · Theorem · commutative algebra

Polynomial.gaussNorm_nonneg

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

If v is a nonnegative function, then the Gauss norm is nonnegative.

Defined in

Mathlib.RingTheory.Polynomial.GaussNorm

Cited by

3 results in Mathlib

Foundations

Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringFunLikeNonnegHomClass