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Proof step 2 from proof CSPAWN-sat-rely-guar (previous step)

Init(CS), ∀ n0. ¬ Act(n0) ⊦ [: 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 lemma

And obtained the following new goals

Proof step 3:
CInitto(m, Act, CS), CInv(n, Act, CS), m ≤ n ⊦ [: Act, Inp, CS, Outp | CRelyto(m, Act', CS', Act'', CS'') , CGuarto(m, Act, CS, Act', CS') , CInv(n, Act, CS) , CSPAWN(m; Act, Inp, CS, Outp) ] CInv(n, Act, CS)
Proof step 4:
Init(CS), ∀ n0. ¬ Act(n0), ¬ CInitto(n, Act, CS) ∨ ¬ CInv(n, Act, CS) ∨ ¬ n ≤ n ⊦ [: 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: inst: name: CSPAWN-sat-rely-guar-ind seq: CInitto(m, Act, CS), CInv(n, Act, CS), m ≤ n ⊦ [: Act, Inp, CS, Outp | CRelyto(m, Act', CS', Act'', CS'') , CGuarto(m, Act, CS, Act', CS') , CInv(n, Act, CS) , CSPAWN(m; Act, Inp, CS, Outp) ] CInv(n, Act, CS) subst: [m, Act, CS, n, Inp, Outp] → [n, Act, CS, n, Inp, Outp] flags: current, []

Additional information

Used terms: n, Act, CS, n, Inp, Outp