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

Init(CS), ∀ n0. ¬ Act(n0), ¬ CInitto(n, Act, CS) ∨ ¬ CInv(n, Act, CS) ⊦ [: Act, Inp, CS, Outp | CRelyto(n, Act', CS', Act'', CS'') , CGuarto(n, Act, CS, Act', CS') , CInv(n, Act, CS) , CSPAWN(n; Act, Inp, CS, Outp) ] CInv(n, Act, CS)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ CInitto(m, act1, cs1) ↔ (∀ m0. m0 ≤ m → CInit(m0, act1, cs1))
Proof step 7:
Init(CS), ∀ n0. ¬ Act(n0), ¬(∀ m0. m0 ≤ n → CInit(m0, Act, CS)) ∨ ¬ CInv(n, Act, CS) ⊦ [: Act, Inp, CS, Outp | CRelyto(n, Act', CS', Act'', CS'') , CGuarto(n, Act, CS, Act', CS') , CInv(n, Act, CS) , CSPAWN(n; Act, Inp, CS, Outp) ] CInv(n, Act, CS)

Rule argument

spec: CSPAWN inst: name: CInitto-def seq: ⊦ CInitto(m, act1, cs1) ↔ (∀ m0. m0 ≤ m → CInit(m0, act1, cs1)) subst: [cs1, act1, m] → [CS, Act, n] flags: rewrite

Additional information

Used terms: CS, Act, n