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theorem proved term proof

normalization_is_essential

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formal statement (Lean)

 125theorem normalization_is_essential :
 126    ¬ IsNormalizedCost (fun x => (x + x⁻¹) / 2) := by

proof body

Term-mode proof.

 127  intro h
 128  simp [IsNormalizedCost] at h
 129
 130/-- Consistency IS what defines compositional structure.
 131    If you don't have it, you don't have a compositional cost theory. -/

depends on (3)

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