Theorems · Theorem · number theory
Padic.valuation_natCast
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (n : ℕ), (↑n).valuation = ↑(padicValNat p n)- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 112 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.Primestatement and proof · cited by 2,059
- Padicstatement and proof · cited by 151
- padicValNatstatement and proof · cited by 106
- Rat.cast_natCastproof · cited by 67
- Padic.valuationstatement and proof · cited by 28
- padicValRat.of_natproof · cited by 9
- Padic.valuation_ratCastproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- Padic.valuation_oneproof · cited by 2
- PadicInt.valuation_pproof · cited by 1
- Padic.valuation_ofNatproof · cited by 0
- Padic.valuation_pproof · cited by 0
- Padic.valuation_p_ne_zeroproof · cited by 0
- Padic.valuation_p_lt_oneproof · cited by 0