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Proof step 40 from proof spawn-sat-rg-strnger (previous step)

GInv(s), ∀ m0. m0 ≤ n0 + 1 → Pr(m0)(s) ⊦ Pr(n0 + 1)(s), Prton(n0)(s), Poton(n0 + 1)(s)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 2 terms: n0 + 1

Additional information

Used simplifier rules: lep-02: ⊦ m + n ≤ m + n0 ↔ n ≤ n0; from specification nat%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%c: ⊦ m + n = n + m; from specification nat-basic2 Used terms: n0 + 1