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Proof step 96 from proof spawn-sat-rg-strnger (previous step)

□ (Outf = Outf' ∧ Inpf = Inpf'), Gr(n0 + 1)(S, S') ∨ Gton(n0)(S, S'), GInv(S) → GInv(S'), ∀ m. ¬ m ≤ n0 + 1 ∨ ¬ Gr(m)(S, S') ⊦ blocked, last

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 97:
⊦ Gton(n)(s, s0) ↔ (∃ m. m ≤ n ∧ Gr(m)(s, s0))
Proof step 98:
□ (Outf = Outf' ∧ Inpf = Inpf'), Gr(n0 + 1)(S, S') ∨ (∃ m. m ≤ n0 ∧ Gr(m)(S, S')), GInv(S) → GInv(S'), ∀ m. ¬ m ≤ n0 + 1 ∨ ¬ Gr(m)(S, S') ⊦ last, blocked

Rule argument

spec: inst: name: gto-def seq: ⊦ Gton(n)(s, s0) ↔ (∃ m. m ≤ n ∧ Gr(m)(s, s0)) subst: [s0, s, n] → [S', S, n0] flags: rewrite, current

Additional information

Used terms: S', S, n0