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Proof step 63 from proof rg-restr2 (previous step)

GInit(s4), GInv(s4), ∀ m. Pr(m)(s4) ⊦ Prton(n0)(s4)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 64:
⊦ Prton(n)(s) ↔ (∀ m. m ≤ n → Pr(m)(s))
Proof step 65:
GInit(s4), GInv(s4), ∀ m. Pr(m)(s4) ⊦ ∀ m. m ≤ n0 → Pr(m)(s4)

Rule argument

spec: inst: name: prton-def seq: ⊦ Prton(n)(s) ↔ (∀ m. m ≤ n → Pr(m)(s)) subst: [s, n] → [s4, n0] flags: rewrite, current

Additional information

Used terms: s4, n0