Theorems · Theorem · number theory
PadicInt.norm_mahlerTerm
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : Module ℤ_[p] E]
[inst_2 : IsBoundedSMul ℤ_[p] E] (a : E) (n : ℕ), ‖PadicInt.mahlerTerm a n‖ = ‖a‖- Defined in
- Mathlib.NumberTheory.Padics.MahlerBasis
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement · cited by 25,697
- Modulestatement and proof · cited by 20,661
- NormedAddCommGroupstatement and proof · cited by 15,752
- Norm.normstatement and proof · cited by 5,413
- LE.le.transproof · cited by 3,151
- Factstatement and proof · cited by 2,726
- Nat.cast_oneproof · cited by 2,501
- ContinuousMapstatement · cited by 2,491
- le_antisymmproof · cited by 2,068
- Nat.Primestatement and proof · cited by 2,059
- one_smulproof · cited by 1,374
Cited by2
Results whose statement or proof uses this declaration.
- PadicInt.hasSum_mahlerSeriesproof · cited by 2
- PadicInt.norm_mahler_eqproof · cited by 0