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Proof step 49 from proof rg-restr1 (previous step)

GInit(s4) ⊦ Pr(n0 + 1)(s4) ∧ Pr(n0)(s4) ∧ GInv(s4)

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 50:
⊦ GInit(s) → GInv(s) ∧ (∀ m. Pr(m)(s))
Proof step 51:
GInit(s4) → GInv(s4) ∧ (∀ m. Pr(m)(s4)), GInit(s4) ⊦ Pr(n0 + 1)(s4) ∧ Pr(n0)(s4) ∧ GInv(s4)

Rule argument

spec: RGn inst: name: init-inv-pr seq: ⊦ GInit(s) → GInv(s) ∧ (∀ m. Pr(m)(s)) subst: [s] → [s4] flags: []

Additional information

Used terms: s4