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Theorem inv

⊦ inv(n, m0, m1, ar, sar) ↔ ¬ ¬ ( valid(sar, ar) ∧ # ar ≠ 0 ∧ n ≤ # ar ∧ n ≠ 0 ∧ (∃ m2. m2 ≤ # ar ∧ rs(ar, m1, m2, m0) ∧ (∀ n0, n1. n1 + 1 < n ∧ rs(ar, sar[n1 + 1], sar[n1], n0) → n0 ≤ m0)))