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Proof step 55 from proof RG-restr-ok (previous step)

m < n, CInv(n, act, cs), CInv(n, act0, cs0), CGuarto(m, act, cs, act0, cs0) ⊦ n = 0, CRely(m + 1, act, cs, act0, cs0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 56:
⊦ CGuarto(m, act, cs, act0, cs0) ↔ (∃ m0. m0 ≤ m ∧ CGuar(m0, act, cs, act0, cs0))
Proof step 57:
m < n, CInv(n, act, cs), CInv(n, act0, cs0), ∃ m0. m0 ≤ m ∧ CGuar(m0, act, cs, act0, cs0) ⊦ n = 0, CRely(m + 1, act, cs, act0, cs0)

Rule argument

spec: CSPAWN+Preds inst: name: CGuarto-def seq: ⊦ CGuarto(m, act, cs, act0, cs0) ↔ (∃ m0. m0 ≤ m ∧ CGuar(m0, act, cs, act0, cs0)) subst: [cs0, act0, cs, act, m] → [cs0, act0, cs, act, m] flags: rewrite

Additional information

Used terms: cs0, act0, cs, act, m