Theorems · Theorem · field theory
Polynomial.le_supNorm
∀ {A : Type u_1} [inst : SeminormedRing A] (p : Polynomial A) (i : ℕ), ‖p.coeff i‖ ≤ p.supNorm- Defined in
- Mathlib.Analysis.Polynomial.Norm
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 120 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.
Cites13
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
- Norm.normstatement and proof · cited by 5,413
- mul_oneproof · cited by 3,885
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Polynomial.coeffstatement and proof · cited by 1,045
- one_powproof · cited by 521
- SeminormedRingstatement and proof · cited by 446
- Polynomial.gaussNormproof · cited by 20
- Polynomial.supNormstatement · cited by 13
- SeminormedRing.toRingSeminormproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.isGreatest_supNormproof · cited by 1
- Polynomial.mahlerMeasure_le_sqrt_natDegree_add_one_mul_supNormproof · cited by 0