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Proof step 48 from proof spawn-sat-rg-strnger (previous step)

[:Inpf, S, Outf | [PL true] ∥ [PL true]], GInv(s), ∀ m0. m0 ≤ n0 + 1 → Pr(m0)(s), boolvar → s = s0 ∧ inpf = inpf0 ∧ outf = outf0, ¬ Pr(n0 + 1)(s), ¬ Prton(n0)(s) ⊦ Gton(n0 + 1)(s, s0) ∧ ¬ boolvar ∧ GInv(s0) ∧ ( Rton(n0 + 1)(s0, S) ∧ GInv(S) → (Rton(n0 + 1)(S', S'') ∧ (GInv(S') → GInv(S''))) -+-> (last ⊃ Poton(n0 + 1)(S) ∧ GInv(S);Gton(n0 + 1)(S, S') ∧ ¬ blocked ∧ (GInv(S) → GInv(S'))))

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 3 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