Theorems · Theorem · number theory
PadicInt.isUnit_den
∀ {p : ℕ} [hp_prime : Fact (Nat.Prime p)] (r : ℚ), ‖↑r‖ ≤ 1 → IsUnit ↑r.den- Cited by
- 3 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- mul_oneproof · cited by 3,885
- Factstatement and proof · cited by 2,726
- le_antisymmproof · cited by 2,068
- Nat.Primestatement and proof · cited by 2,059
- IsUnitstatement · cited by 1,602
- norm_nonnegproof · cited by 725
- zero_lt_oneproof · cited by 598
- Normproof · cited by 512
- Fact.outproof · cited by 328
- not_ltproof · cited by 306
Cited by3
Results whose statement or proof uses this declaration.
- PadicInt.norm_sub_modPartproof · cited by 1
- Padic.norm_rat_le_one_iff_padicValuation_le_oneproof · cited by 1
- PadicInt.norm_sub_modPart_auxproof · cited by 1