padicValNat.maxPowDiv_eq_emultiplicity

Deprecated since 2026-03-15Use padicValNat_eq_emultiplicity instead.

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

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

Defined in: Mathlib.NumberTheory.Padics.PadicVal.Defs
Cited by: 0 results in Mathlib
Foundations: Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Fact

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