Theorems · Theorem · number theory
Polynomial.norm_leadingCoeff_eq_one_of_mahlerMeasure_eq_one
∀ {p : Polynomial ℤ},
(Polynomial.map (Int.castRingHom ℂ) p).mahlerMeasure = 1 → ‖(Polynomial.map (Int.castRingHom ℂ) p).leadingCoeff‖ = 1- Defined in
- Mathlib.NumberTheory.MahlerMeasure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 299 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Norm.normstatement and proof · cited by 5,413
- Nat.cast_oneproof · cited by 2,501
- absproof · cited by 1,814
- eq_or_neproof · cited by 1,117
- Polynomial.mapstatement and proof · cited by 806
- Polynomial.leadingCoeffstatement and proof · cited by 498
- Int.cast_oneproof · cited by 371
- Int.castRingHomstatement and proof · cited by 254
- eq_intCastproof · cited by 127
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.abs_leadingCoeff_eq_one_of_mahlerMeasure_eq_oneproof · cited by 1