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Theorem remains-ordered-by-swap

⊦ # ar1 = n0 + m + 1 ∧ n0 ≠ 0 ∧ ar1[m] < ar1[j] ∧ j < # ar1 ∧ m < j ∧ ordered≤(rev(subarray(ar1, m + 1, n0))) ∧ (∀ n. j < n ∧ n < # ar1 → ar1[n] ≤ ar1[m]) → ordered≤(rev(subarray(ar1[m, ar1[j]][j, ar1[m]], m + 1, n0)))

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