Theorems · Theorem · field theory
Polynomial.supNorm_nonneg
∀ {A : Type u_1} [inst : SeminormedRing A] (p : Polynomial A), 0 ≤ p.supNorm- Defined in
- Mathlib.Analysis.Polynomial.Norm
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Polynomialstatement and proof · cited by 5,681
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- SeminormedRingstatement and proof · cited by 446
- Polynomial.supNormstatement · cited by 13
- SeminormedRing.toRingSeminormproof · cited by 10
- Polynomial.gaussNorm_nonnegproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.mahlerMeasure_le_sqrt_natDegree_add_one_mul_supNormproof · cited by 0