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theorem proved term proof

paired_log_sum_zero

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formal statement (Lean)

 130theorem paired_log_sum_zero (e : RecognitionEvent) :
 131    Real.log e.ratio + Real.log (reciprocal e).ratio = 0 := by

proof body

Term-mode proof.

 132  simp only [reciprocal]
 133  exact log_reciprocal_cancel e.ratio_pos
 134
 135/-- Helper: net flow contribution from a single event for an agent -/

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