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Theorem sorted-sub-merge

⊦ ⊑(ar[n], ar[n + 1]) ∧ sorted(ar, n + 1, m + 1, ⊑) ∧ sorted(ar, 0, n + 1, ⊑) ∧ transitive(⊑) → (¬ sorted(ar, 0, m + 1, ⊑) ↔ false)

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