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Proof step 18 from proof spawn-sat-rg-strnger (previous step)

last, Po(0)(S), GInv(S), ¬ Poton(0)(S) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 19:
⊦ Poton(n)(s) ↔ (∀ m. m ≤ n → Po(m)(s))

Rule argument

spec: inst: name: poton-def seq: ⊦ Poton(n)(s) ↔ (∀ m. m ≤ n → Po(m)(s)) subst: [s, n] → [S, 0] flags: rewrite, current

Additional information

Used simplifier rules: lez-01: ⊦ m ≤ 0 ↔ m = 0; from specification nat Used terms: S, 0