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Theorems · Theorem · number theory

padicValNat_eq_emultiplicity

∀ {p : ℕ} [hp : Fact (Nat.Prime p)] {n : ℕ}, n ≠ 0 → ↑(padicValNat p n) = emultiplicity p n

A simplification of padicValNat when one input is prime, by analogy with padicValRat_def.

Defined in
Mathlib.NumberTheory.Padics.PadicVal.Defs
Cited by
9 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Fact

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