Theorems · Definition · number theory
Padic.addValuation
{p : ℕ} → [hp : Fact (Nat.Prime p)] → AddValuation ℚ_[p] (WithTop ℤ)The additive p-adic valuation on ℚ_[p], as an addValuation.
- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 167 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.
- WithTopstatement · cited by 3,754
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Padicstatement · cited by 151
- AddValuationstatement · cited by 96
- Padic.addValuationDefproof · cited by 4
- AddValuation.ofproof · cited by 2
- Padic.AddValuation.map_addproof · cited by 0
- Padic.AddValuation.map_mulproof · cited by 0
- Padic.AddValuation.map_oneproof · cited by 0
- Padic.AddValuation.map_zeroproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- Padic.addValuation.applystatement · cited by 0