Theorems · Definition · number theory
Padic.addValuationDef
{p : ℕ} → [hp : Fact (Nat.Prime p)] → ℚ_[p] → WithTop ℤThe additive p-adic valuation on ℚ_[p], with values in WithTop ℤ.
- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 96 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- WithTopstatement · cited by 3,754
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- WithTop.someproof · cited by 1,128
- Padicstatement and proof · cited by 151
- Padic.valuationproof · cited by 28
Cited by5
Results whose statement or proof uses this declaration.
- Padic.addValuationproof · cited by 1
- Padic.AddValuation.map_mulstatement · cited by 0
- Padic.AddValuation.map_onestatement · cited by 0
- Padic.AddValuation.map_zerostatement · cited by 0
- Padic.AddValuation.map_addstatement · cited by 0