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Proof step 5 from proof COP-sat-rely-guar (previous step)

Inv(CS) → (Rely(m, CS', CS'') ∧ (Idle(m, CS') ↔ Idle(m, CS'')) ∧ (Inv(CS') → Inv(CS''))) -+-> (last ⊃ Idle(m, CS) ∧ Inv(CS);Guar(m, CS, CS') ∧ (∀ m0. m0 ≠ m → (Idle(m0, CS) ↔ Idle(m0, CS'))) ∧ (Inv(CS) → Inv(CS'))), □ (Act = Act' ∧ Inp = Inp'), CInv(n, Act, CS), Act(m), m ≤ n, Idle(m, 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 case distinction

And obtained the following new goals

Rule argument

pos: left 1

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