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Theorem scolsorted-def

⊦ m ≤ #c mx → ( scolsorted(mx, m, mx0) ↔ #r mx = #r mx0 ∧ #c mx = #c mx0 ∧ (∀ c. c < #c mx → (c < m ⊃ perm(mx0[c]c, mx[c]c) ∧ ordered≤(mx[c]c);mx0[c]c = mx[c]c)))