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Proof step 35 from proof CSPAWN-sat-rely-guar-ind (previous step)

n ≠ 0, m0 < n, RG-restr (n, λ n, act, cs, act0, cs0. CRely(m0 + 1, act, cs, act0, cs0) ∧ (CInv(n, act, cs) → CInv(n, act0, cs0)), λ n, act, cs, act0, cs0. CGuar(m0 + 1, act, cs, act0, cs0) ∧ (CInv(n, act, cs) → CInv(n, act0, cs0)), λ n, act, cs. CInit(m0 + 1, act, cs) ∧ CInv(n, act, cs), λ n, act, cs, act0, cs0. CInv(n, act0, cs0), CInv, λ n, act, cs, act0, cs0. CRelyto(m0, act, cs, act0, cs0) ∧ (CInv(n, act, cs) → CInv(n, act0, cs0)), λ n, act, cs, act0, cs0. CGuarto(m0, act, cs, act0, cs0) ∧ (CInv(n, act, cs) → CInv(n, act0, cs0)), λ n, act, cs. CInitto(m0, act, cs) ∧ CInv(n, act, cs), λ n, act, cs, act0, cs0. CInv(n, act0, cs0)), CInit(m0 + 1, Act, CS), CInv(n, Act, CS), ¬ Idle(m0 + 1, CS) ⊦ (CRely(m0 + 1, Act', CS', Act'', CS'') ∧ (CInv(n, Act', CS') → CInv(n, Act'', CS''))) -+-> (last ⊃ CInv(n, Act, CS);CGuar(m0 + 1, Act, CS, Act', CS') ∧ (CInv(n, Act, CS) → CInv(n, Act', CS')))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: CSPAWN+Preds inst: name: CInit-def seq: ⊦ CInit(m, act1, cs1) ↔ Idle(m, cs1) ∧ ¬ act1(m) subst: [cs1, act1, m] → [CS, Act, m0 + 1] flags: rewrite

Additional information

Used terms: CS, Act, m0 + 1