Theorems · Theorem · number theory
Padic.valuation_ratCast
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (q : ℚ), (↑q).valuation = padicValRat p q- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 111 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.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Factstatement and proof · cited by 2,726
- Nat.cast_oneproof · cited by 2,501
- Nat.Primestatement and proof · cited by 2,059
- Nat.cast_zeroproof · cited by 1,870
- eq_or_neproof · cited by 1,117
- Fact.outproof · cited by 328
- Padicstatement · cited by 151
- Nat.Prime.one_ltproof · cited by 118
- StrictMono.injectiveproof · cited by 94
- padicNormproof · cited by 83
- Rat.cast_natCastproof · cited by 67
Cited by3
Results whose statement or proof uses this declaration.
- Padic.valuation_natCastproof · cited by 6
- Padic.valuation_intCastproof · cited by 1
- Padic.comap_mulValuation_eq_padicValuationproof · cited by 0