Theorems · Theorem · number theory
Padic.valuation_ofNat
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (n : ℕ) [inst : n.AtLeastTwo], (OfNat.ofNat n).valuation = ↑(padicValNat p n)- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FactNat.AtLeastTwo
Around this declaration
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Cites7
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
- Nat.AtLeastTwostatement and proof · cited by 405
- Padicstatement · cited by 151
- padicValNatstatement · cited by 106
- Padic.valuationstatement · cited by 28
- Padic.valuation_natCastproof · cited by 6
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