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Proof step 89 from proof spawn-sat-rg-strnger (previous step)

last, GInv(S), Poton(n0)(S), Po(n0 + 1)(S), m ≤ n0 + 1, ¬ Po(m)(S) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 90:
⊦ Poton(n)(s) ↔ (∀ m. m ≤ n → Po(m)(s))
Proof step 91:
last, GInv(S), ∀ m. m ≤ n0 → Po(m)(S), Po(n0 + 1)(S), m ≤ n0 + 1, ¬ Po(m)(S) ⊦

Rule argument

spec: inst: name: poton-def seq: ⊦ Poton(n)(s) ↔ (∀ m. m ≤ n → Po(m)(s)) subst: [s, n] → [S, n0] flags: rewrite, current

Additional information

Used terms: S, n0