Theorems · Theorem · complex analysis
Polynomial.logMahlerMeasure_C_mul
∀ {a : ℂ},
a ≠ 0 → ∀ {p : Polynomial ℂ}, p ≠ 0 → (Polynomial.C a * p).logMahlerMeasure = Real.log ‖a‖ + p.logMahlerMeasure- Cited by
- 1 results in Mathlib
- Foundations
- Depth 274 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Complexstatement and proof · cited by 5,565
- Norm.normstatement and proof · cited by 5,413
- Polynomial.Cstatement and proof · cited by 1,598
- Real.logstatement and proof · cited by 939
- Polynomial.logMahlerMeasurestatement and proof · cited by 21
- Polynomial.logMahlerMeasure_constproof · cited by 2
- Polynomial.logMahlerMeasure_mul_eq_add_logMahlerMeasureproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.logMahlerMeasure_C_mul_X_add_Cproof · cited by 1