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Proof step 9 from proof spawn-sat-rg-strnger (previous step)

□ Inpf = Inpf', Prton(0)(S), GInv(S), ¬ Pr(0)(S) ⊦ (Rton(0)(S', S'') ∧ (GInv(S') → GInv(S''))) -+-> (last ⊃ Poton(0)(S) ∧ GInv(S);Gton(0)(S, S') ∧ ¬ blocked ∧ (GInv(S) → GInv(S')))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ Prton(n)(s) ↔ (∀ m. m ≤ n → Pr(m)(s))

Rule argument

spec: inst: name: prton-def seq: ⊦ Prton(n)(s) ↔ (∀ m. m ≤ n → Pr(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