Theorems · Theorem · number theory
PadicInt.norm_mahler_eq
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (k : ℕ), ‖mahler k‖ = 1The uniform norm of the k-th Mahler basis function is 1, for every k.
- Defined in
- Mathlib.NumberTheory.Padics.MahlerBasis
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- Factstatement and proof · cited by 2,726
- ContinuousMapstatement · cited by 2,491
- Nat.Primestatement and proof · cited by 2,059
- PadicIntstatement · cited by 179
- NormOneClass.norm_oneproof · cited by 148
- mahlerstatement · cited by 7
- PadicInt.norm_mahlerTermproof · cited by 2
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