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Proof step 6 from proof COP-sat-rely-guar (previous step)

□ (Act = Act' ∧ Inp = Inp'), CInv(n, Act, CS), Act(m), m ≤ n, Idle(m, CS), ¬ Inv(CS) ⊦ (CRely(m, Act', CS', Act'', CS'') ∧ (CInv(n, Act', CS') ∧ Act'(m) → CInv(n, Act'', CS'') ∧ Act''(m))) -+-> (last ⊃ CInv(n, Act, CS) ∧ Idle(m, CS) ∧ Act(m);CGuar(m, Act, CS, Act', CS') ∧ (CInv(n, Act, CS) ∧ Act(m) → CInv(n, Act', CS') ∧ Act'(m)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ CInv(m, act, cs) ↔ Inv(cs) ∧ (∀ m0. m < m0 → Idle(m0, cs) ∧ ¬ act(m0))

Rule argument

spec: CSPAWN inst: name: CInv-def seq: ⊦ CInv(m, act, cs) ↔ Inv(cs) ∧ (∀ m0. m < m0 → Idle(m0, cs) ∧ ¬ act(m0)) subst: [cs, act, m] → [CS, Act, n] flags: rewrite

Additional information

Used terms: CS, Act, n