Theorems · Theorem · complex analysis
Polynomial.logMahlerMeasure_mul_eq_add_logMahlerMeasure
∀ {p q : Polynomial ℂ}, p * q ≠ 0 → (p * q).logMahlerMeasure = p.logMahlerMeasure + q.logMahlerMeasure- Cited by
- 2 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.
Cites9
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
- Real.logproof · cited by 939
- Real.log_mulproof · cited by 52
- Polynomial.mahlerMeasureproof · cited by 45
- Polynomial.logMahlerMeasurestatement · cited by 21
- Polynomial.mahlerMeasure_mulproof · cited by 5
- Polynomial.logMahlerMeasure_eq_log_MahlerMeasureproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.logMahlerMeasure_eq_log_leadingCoeff_add_sum_log_rootsproof · cited by 1
- Polynomial.logMahlerMeasure_C_mulproof · cited by 1