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Proof step 55 from proof rg-restr1 (previous step)

⊦ Ry(n0 + 1)(s4, s4)

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 56:
⊦ Gr(m)(s, s0) → (∀ n. n ≠ m → Ry(n)(s, s0))
Proof step 57:
Gr(n0)(s4, s4) → (∀ n. n ≠ n0 → Ry(n)(s4, s4)) ⊦ Ry(n0 + 1)(s4, s4)

Rule argument

spec: RGn inst: name: g-r seq: ⊦ Gr(m)(s, s0) → (∀ n. n ≠ m → Ry(n)(s, s0)) subst: [m, s, s0] → [n0, s4, s4] flags: []

Additional information

Used terms: n0, s4, s4