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theorem proved term proof

deficit_pos_of_angle_deficit

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formal statement (Lean)

 137theorem deficit_pos_of_angle_deficit (h : HingeData)
 138    (h_less : h.dihedral_angles.sum < 2 * Real.pi) :
 139    0 < deficit_angle h := by

proof body

Term-mode proof.

 140  unfold deficit_angle; linarith
 141
 142/-- Deficit angle is negative when total angle > 2*pi (negative curvature). -/

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