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Proof step 21 from proof rg-restr1 (previous step)

⊦ Pr(n0)(s) ∧ Rton(n0)(s, s0) → Pr(n0)(s0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 22:
⊦ Rton(n)(s, s0) ↔ (∀ m. m ≤ n → Ry(m)(s, s0))
Proof step 23:
⊦ Pr(n0)(s) ∧ (∀ m. m ≤ n0 → Ry(m)(s, s0)) → Pr(n0)(s0)

Rule argument

spec: inst: name: rton-def seq: ⊦ Rton(n)(s, s0) ↔ (∀ m. m ≤ n → Ry(m)(s, s0)) subst: [s0, s, n] → [s0, s, n0] flags: rewrite, current

Additional information

Used terms: s0, s, n0