pith. machine review for the scientific record. sign in
theorem proved term proof

mobius_apply_of_squarefree

show as:
view Lean formalization →

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

generate prose now

formal statement (Lean)

  55theorem mobius_apply_of_squarefree {n : ℕ} (hn : Squarefree n) :
  56    mobius n = (-1) ^ ArithmeticFunction.cardFactors n := by

proof body

Term-mode proof.

  57  simpa [mobius] using (ArithmeticFunction.moebius_apply_of_squarefree (n := n) hn)
  58
  59/-- A useful bridge: for `n ≠ 0`, `μ n ≠ 0` iff all prime exponents are ≤ 1. -/

used by (2)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (10)

Lean names referenced from this declaration's body.