Theorems · Theorem · number theory
Int.padicValuation_le_one
∀ (p : ℕ) [inst : Fact (Nat.Prime p)] (x : ℤ), (Int.padicValuation p) x ≤ 1
- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 163 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Multiplicativestatement · cited by 875
- Valuationstatement · cited by 823
- WithZerostatement · cited by 586
- WithZero.expproof · cited by 112
- padicValIntproof · cited by 22
- Int.padicValuationstatement · cited by 9
- padicValRat.of_intproof · cited by 7
- WithZero.le_log_iff_exp_leproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Rat.padicValuation_le_one_iffproof · cited by 1