Theorems · Theorem · number theory
Int.padicValuation_self
∀ (p : ℕ) [inst : Fact (Nat.Prime p)], (Int.padicValuation p) ↑p = WithZero.exp (-1)
- 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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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- Int.cast_natCastproof · cited by 393
- WithZero.expstatement and proof · cited by 112
- Rat.padicValuationproof · cited by 18
- Int.padicValuationstatement · cited by 9
- Rat.padicValuation_selfproof · cited by 2
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