Theorems · Theorem · number theory
Padic.mulValuation_toFun
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (x : ℚ_[p]), Padic.mulValuation x = if x = 0 then 0 else WithZero.exp (-x.valuation)- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 168 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Multiplicativestatement · cited by 875
- Valuationstatement · cited by 823
- WithZerostatement · cited by 586
- Padicstatement and proof · cited by 151
- WithZero.expstatement · cited by 112
- Padic.valuationstatement · cited by 28
- Padic.mulValuationstatement and proof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- Padic.comap_mulValuation_eq_int_padicValuationproof · cited by 0
- Padic.comap_mulValuation_eq_padicValuationproof · cited by 0
- Padic.norm_eq_zpow_log_mulValuationproof · cited by 0
- Padic.valuation_p_ne_zeroproof · cited by 0
- Padic.valuation_p_lt_oneproof · cited by 0