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Proof step 69 from proof spawn-sat-rg-strnger (previous step)

□ (Outf = Outf' ∧ Inpf = Inpf'), [:S | [PL ¬ GInv(S) ∨ ¬ Pr(n0 + 1)(S)] ∥ [PL GInv(S) ∧ Prton(n0)(S) ∧ (Rton(n0)(S', S'') ∧ (GInv(S') → GInv(S''))) -+-> (last ⊃ Poton(n0)(S) ∧ GInv(S);Gton(n0)(S, S') ∧ ¬ blocked ∧ (GInv(S) → GInv(S'))) ] ], ∀ m. m ≤ n0 + 1 → Pr(m)(S), GInv(S), ¬ RG-restr(GInit, GInv, Ry(n0 + 1), Gr(n0 + 1), Pr(n0 + 1), Po(n0 + 1), λ s. true, Rton(n0), Gton(n0), Pr(n0), Poton(n0), λ s. true) ⊦ (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')))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name: rg-restr1 seq: ⊦ ¬ RG-restr (GInit, GInv, Ry(n0 + 1), Gr(n0 + 1), Pr(n0 + 1), Po(n0 + 1), λ s. true, Rton(n0), Gton(n0), Pr(n0), Poton(n0), λ s. true) ↔ false subst: [n0] → [n0] flags: rewrite, current

Additional information

Used terms: n0