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Theorem sorted-exchange

⊦ n < # ar ∧ m < n ∧ sorted(ar, m + 1, n + 1, ⊑) ∧ (m + 1 < n → ⊑(ar[m], ar[m + 2])) ∧ ¬ ⊑(ar[m], ar[m + 1]) ∧ total(⊑) ∧ reflexive(⊑) ∧ transitive(⊑) → (¬ sorted(ar[m + 1, ar[m]][m, ar[m + 1]], m, n + 1, ⊑) ↔ false)

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