Theorems · Theorem · number theory
Padic.norm_int_le_one
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (z : ℤ), ‖↑z‖ ≤ 1- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 166 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.
Cites9
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
- Fact.outproof · cited by 328
- Padicstatement · cited by 151
- Rat.cast_intCastproof · cited by 74
- Nat.Prime.ne_oneproof · cited by 61
- Padic.norm_rat_le_oneproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Padic.norm_intCast_lt_one_iffproof · cited by 3