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`BookProof.ChapterF3.overlap_prod_pos` {ι : Type*} (s : Finset ι) (w : ι → ℝ) (hw : ∀ i ∈ s, 0 < w i) : 0 < ∏ i ∈ s, Real.sqrt (w i / (2 * Real.pi)) · Prove2Me