Theorems · Theorem · complex analysis
Polynomial.prod_mahlerMeasure_eq_mahlerMeasure_prod
∀ (s : Multiset (Polynomial ℂ)), s.prod.mahlerMeasure = (Multiset.map (fun p => p.mahlerMeasure) s).prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 273 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Polynomialstatement and proof · cited by 5,681
- Complexstatement and proof · cited by 5,565
- Multisetstatement and proof · cited by 2,627
- Multiset.mapstatement and proof · cited by 876
- Multiset.prodstatement and proof · cited by 528
- Multiset.induction_onproof · cited by 109
- Multiset.map_consproof · cited by 93
- Multiset.prod_consproof · cited by 68
- Polynomial.mahlerMeasurestatement and proof · cited by 45
- Polynomial.mahlerMeasure_mulproof · cited by 5
- Polynomial.mahlerMeasure_oneproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.logMahlerMeasure_eq_log_leadingCoeff_add_sum_log_rootsproof · cited by 1