Theorems · Theorem · number theory
Rat.padicValuation_self
∀ (p : ℕ) [inst : Fact (Nat.Prime p)], (Rat.padicValuation p) ↑p = WithZero.exp (-1)
- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 162 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.
Cites14
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.cast_oneproof · cited by 2,501
- Nat.Primestatement and proof · cited by 2,059
- Multiplicativestatement · cited by 875
- Valuationstatement · cited by 823
- WithZerostatement · cited by 586
- Fact.outproof · cited by 328
- WithZero.expstatement and proof · cited by 112
- Nat.Prime.ne_zeroproof · cited by 109
- padicValRatproof · cited by 49
- Rat.padicValuationstatement · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- Padic.isUniformInducing_cast_withValproof · cited by 2
- Int.padicValuation_selfproof · cited by 0