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Proof step 21 from proof spawn-sat-rg-strnger (previous step)

□ Inpf = Inpf', Gr(0)(S, S'), ¬ Gton(0)(S, S'), GInv(S) → GInv(S') ⊦ last, blocked

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 22:
⊦ Gton(n)(s, s0) ↔ (∃ m. m ≤ n ∧ Gr(m)(s, s0))

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, 0] flags: rewrite, current

Additional information

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