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Proof step 127 from proof spawn-sat-rg-strnger (previous step)

□ (Outf = Outf' ∧ Inpf = Inpf'), ∀ m. m ≤ n0 + 1 → Ry(m)(S', S''), GInv(S') → GInv(S''), ¬ Ry(n0 + 1)(S', S'') ∨ ¬ Rton(n0)(S', S'') ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 128:
⊦ Rton(n)(s, s0) ↔ (∀ m. m ≤ n → Ry(m)(s, s0))
Proof step 129:
□ (Outf = Outf' ∧ Inpf = Inpf'), ∀ m. m ≤ n0 + 1 → Ry(m)(S', S''), GInv(S') → GInv(S''), ¬ Ry(n0 + 1)(S', S'') ∨ ¬(∀ m. m ≤ n0 → Ry(m)(S', S'')) ⊦

Rule argument

spec: inst: name: rton-def seq: ⊦ Rton(n)(s, s0) ↔ (∀ m. m ≤ n → Ry(m)(s, s0)) subst: [s0, s, n] → [S'', S', n0] flags: rewrite, current

Additional information

Used terms: S'', S', n0