Theorems · Definition · number theory
PadicInt.valuation
{p : ℕ} → [hp : Fact (Nat.Prime p)] → ℤ_[p] → ℕPadicInt.valuation lifts the p-adic valuation on ℚ to ℤ_[p].
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 107 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- PadicIntstatement and proof · cited by 179
- Padic.valuationproof · cited by 28
Cited by20
Results whose statement or proof uses this declaration.
- PadicInt.unitCoeffproof · cited by 9
- PadicInt.norm_le_pow_iff_mem_span_powproof · cited by 7
- PadicInt.appr_specproof · cited by 4
- PadicInt.unitCoeff_specstatement and proof · cited by 2
- PadicInt.norm_eq_zpow_neg_valuationstatement and proof · cited by 2
- PadicInt.valuation_p_pow_mulstatement and proof · cited by 2
- PadicInt.appr_ltproof · cited by 2
- PadicInt.appr_monoproof · cited by 2
- PadicInt.unitCoeff_coestatement · cited by 1
- PadicInt.valuation_coestatement · cited by 1
- PadicInt.valuation_mulstatement and proof · cited by 1
- PadicInt.valuation_pstatement · cited by 1