Theorems · Theorem · number theory
Int.padicValuation_eq_zero_iff
∀ {p : ℕ} [inst : Fact (Nat.Prime p)] {x : ℤ}, (Int.padicValuation p) x = 0 ↔ x = 0- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
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Cites8
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
- Rat.padicValuationproof · cited by 18
- Int.padicValuationstatement · cited by 9
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