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Proof step 27 from proof rg-restr2 (previous step)

∀ m. m ≤ n0 → Ry(m)(s, s0), ∀ m. m ≤ n0 → Pr(m)(s) ⊦ Prton(n0)(s0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 28:
⊦ Prton(n)(s) ↔ (∀ m. m ≤ n → Pr(m)(s))
Proof step 29:
∀ m. m ≤ n0 → Ry(m)(s, s0), ∀ m. m ≤ n0 → Pr(m)(s) ⊦ ∀ m. m ≤ n0 → Pr(m)(s0)

Rule argument

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

Additional information

Used terms: s0, n0