Theorems · Theorem · complex analysis
Polynomial.mahlerMeasure_nonneg
∀ (p : Polynomial ℂ), 0 ≤ p.mahlerMeasure
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 255 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Complexstatement and proof · cited by 5,565
- Norm.normproof · cited by 5,413
- Real.piproof · cited by 1,774
- MeasureTheory.MeasureSpace.volumeproof · cited by 1,323
- Real.logproof · cited by 939
- Real.expproof · cited by 871
- Polynomial.evalproof · cited by 796
- intervalIntegralproof · cited by 546
- mul_inv_revproof · cited by 270
- circleMapproof · cited by 117
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.supNorm_le_choose_natDegree_div_two_mul_mahlerMeasureproof · cited by 0
- Polynomial.mapMahlerMeasure_nonnegproof · cited by 0