Theorems · Theorem · number theory
Padic.valuation_one
∀ {p : ℕ} [hp : Fact (Nat.Prime p)], Padic.valuation 1 = 0- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 113 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.
Cites8
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.cast_oneproof · cited by 2,501
- Nat.Primestatement and proof · cited by 2,059
- Nat.cast_zeroproof · cited by 1,870
- Padicstatement and proof · cited by 151
- Padic.valuationstatement and proof · cited by 28
- padicValNat_one_rightproof · cited by 11
- Padic.valuation_natCastproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- PadicInt.valuation_oneproof · cited by 0
- Padic.AddValuation.map_oneproof · cited by 0