Theorems · Theorem · number theory
Padic.norm_lt_pow_iff_norm_le_pow_sub_one
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (x : ℚ_[p]) (n : ℤ), ‖x‖ < ↑p ^ n ↔ ‖x‖ ≤ ↑p ^ (n - 1)- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 166 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
- Nat.Primestatement and proof · cited by 2,059
- sub_add_cancelproof · cited by 344
- Padicstatement and proof · cited by 151
- Padic.norm_le_pow_iff_norm_lt_pow_add_oneproof · cited by 2
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