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Proof step 15 from proof rg-restr2 (previous step)

Gton(n0)(s, s0) ⊦ Ry(n0 + 1)(s, s0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ Gton(n)(s, s0) ↔ (∃ m. m ≤ n ∧ Gr(m)(s, s0))
Proof step 17:
∃ m. m ≤ n0 ∧ Gr(m)(s, s0) ⊦ Ry(n0 + 1)(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] → [s0, s, n0] flags: rewrite, current

Additional information

Used terms: s0, s, n0