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Proof step 18 from proof rg-restr2 (previous step)

Gr(m)(s, s0), m ≤ n0 ⊦ Ry(n0 + 1)(s, s0)

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 19:
⊦ Gr(m)(s, s0) → (∀ n. n ≠ m → Ry(n)(s, s0))
Proof step 20:
Gr(m)(s, s0) → (∀ n. n ≠ m → Ry(n)(s, s0)), Gr(m)(s, s0), m ≤ n0 ⊦ Ry(n0 + 1)(s, s0)

Rule argument

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

Additional information

Used terms: m, s, s0