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Theorems · Theorem · number theory

PadicInt.valuation_p

∀ {p : ℕ} [hp : Fact (Nat.Prime p)], (↑p).valuation = 1
Defined in
Mathlib.NumberTheory.Padics.PadicIntegers
Cited by
1 results in Mathlib
Foundations
Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Fact
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PadicInt.valuation_p_pow_mul · cited by 2PadicInt.valuation_p_pow_…Fact · cited by 2726FactNat.cast_one · cited by 2501Nat.cast_oneNat.Prime · cited by 2059Nat.PrimePadicInt · cited by 179PadicIntPadicInt.valuation · cited by 19PadicInt.valuationpadicValNat_self · cited by 11padicValNat_selfPadic.valuation_natCast · cited by 6Padic.valuation_natCastPadicInt.valuation_pCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.