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theorem proved term proof

singletonHinge_edges

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formal statement (Lean)

 107theorem singletonHinge_edges {n : ℕ} (i j : Fin n) (w : ℝ) (hw : 0 ≤ w) :
 108    (singletonHinge i j w hw).edges = [(i, j)] := by

proof body

Term-mode proof.

 109  unfold singletonHinge; rfl
 110
 111/-! ## §3. The cubic deficit functional via pattern matching -/
 112
 113/-- Deficit at a hinge: if the hinge carries a single edge `(i, j)`,
 114    return `(ε_i − ε_j)²`; otherwise return 0. -/

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