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theorem proved term proof

coupling_from_phi

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formal statement (Lean)

 116theorem coupling_from_phi : (8 : ℝ) * phi ^ (5 : ℝ) > 0 := by

proof body

Term-mode proof.

 117  apply mul_pos (by norm_num : (8 : ℝ) > 0)
 118  exact Real.rpow_pos_of_pos phi_pos 5
 119
 120/-! ## §5 Regge Convergence Hypothesis -/
 121
 122/-- Non-degeneracy of the metric matrix at a point.
 123    This mirrors the variational layer's invertibility hypothesis without
 124    importing the full `Variation.Functional` stack. -/

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