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Proof step 2 from proof fair-always-left-rely (previous step)

[:Act, CS | [PL ◇ ¬ CRely(n + 1, Act', CS', Act'', CS'') ∧ (CRely(n + 1, Act', CS', Act'', CS'') ∧ (CInv(n0, Act', CS') → CInv(n0, Act'', CS''))) -+-> (last ⊃ CInv(n0, Act, CS);CGuar(n + 1, Act, CS, Act', CS') ∧ (CInv(n0, Act, CS) → CInv(n0, Act', CS'))) ] ∥ [PL (CRelyto(n, Act', CS', Act'', CS'') ∧ (CInv(n0, Act', CS') → CInv(n0, Act'', CS''))) -+-> (last ⊃ CInv(n0, Act, CS);CGuarto(n, Act, CS, Act', CS') ∧ (CInv(n0, Act, CS) → CInv(n0, Act', CS'))) ] ], □ (CRelyto(n + 1, Act', CS', Act'', CS'') ∧ CInv(n0, Act', CS') ∧ CInv(n0, Act'', CS'')), n < n0, CInv(n0, Act, CS) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
[:Act, CS | [PL ◇ ¬ CRely(n + 1, Act', CS', Act'', CS'') ∧ (CRely(n + 1, Act', CS', Act'', CS'') ∧ (CInv(n0, Act', CS') → CInv(n0, Act'', CS''))) -+-> (last ⊃ CInv(n0, Act, CS);CGuar(n + 1, Act, CS, Act', CS') ∧ (CInv(n0, Act, CS) → CInv(n0, Act', CS'))) ] ∥ [PL (CRelyto(n, Act', CS', Act'', CS'') ∧ (CInv(n0, Act', CS') → CInv(n0, Act'', CS''))) -+-> (last ⊃ CInv(n0, Act, CS);CGuarto(n, Act, CS, Act', CS') ∧ (CInv(n0, Act, CS) → CInv(n0, Act', CS'))) ] ], □ (CRelyto(n + 1, Act', CS', Act'', CS'') ∧ CInv(n0, Act', CS') ∧ CInv(n0, Act'', CS'')), n0 ≠ 0, n < n0, CInv(n0, Act, CS) ⊦

Rule argument

Additional information

Used simplifier rules: f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic1