Theorems · Theorem · complex analysis
Polynomial.mahlerMeasure_mul
∀ (p q : Polynomial ℂ), (p * q).mahlerMeasure = p.mahlerMeasure * q.mahlerMeasure
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 272 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites43
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
- Set.ofPredproof · cited by 6,101
- Polynomialstatement and proof · cited by 5,681
- Set.imageproof · cited by 5,609
- Complexstatement and proof · cited by 5,565
- Norm.normproof · cited by 5,413
- absproof · cited by 1,814
- Set.Finiteproof · cited by 1,814
- Real.piproof · cited by 1,774
- MeasureTheory.MeasureSpace.volumeproof · cited by 1,323
- Real.logproof · cited by 939
- one_ne_zeroproof · cited by 885
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.logMahlerMeasure_mul_eq_add_logMahlerMeasureproof · cited by 2
- Polynomial.mahlerMeasure_C_mul_X_add_Cproof · cited by 1
- Polynomial.prod_mahlerMeasure_eq_mahlerMeasure_prodproof · cited by 1
- Polynomial.mapMahlerMeasure_mulproof · cited by 0