Nat.pow_mul_mem_smoothNumbers

∀ {p n : ℕ}, p ≠ 0 → ∀ (e : ℕ), n ∈ p.smoothNumbers → p ^ e * n ∈ p.succ.smoothNumbers

If p is positive and n is p-smooth, then every product p^e * n is (p+1)-smooth.

Defined in: Mathlib.NumberTheory.SmoothNumbers
Cited by: 0 results in Mathlib
Foundations: Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

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