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Theorem Inv-end

⊦ Inv-end(A, A0, i, j, y) ↔ # A ≠ 0 ∧ # A = # A0 ∧ j ≤ i ∧ (j ≠ i → y ≤ A[j + 1]) ∧ sorted(A, 0, (j = i ⊃ i;i + 1)) ∧ perm(A[j, y], A0)