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Proof step 3 from proof CSPAWN-sat-rely-guar-ind (previous step)

CInitto(0, Act, CS), CInv(n, Act, CS) ⊦ [: Act, Inp, CS, Outp | CRelyto(0, Act', CS', Act'', CS'') , CGuarto(0, Act, CS, Act', CS') , CInv(n, Act, CS) , CSPAWN(0; Act, Inp, CS, Outp) ] CInv(n, Act, CS)

User applied rule tl call right

And obtained the following new goals

Proof step 4:
CInitto(0, Act, CS), CInv(n, Act, CS), n0 = 0 ⊦ [: Act, Inp, CS, Outp | CRelyto(0, Act', CS', Act'', CS'') , CGuarto(0, Act, CS, Act', CS') , CInv(n, Act, CS) , if* n0 = 0 then CSEQ(n0; Act, Inp, CS, Outp) else CSEQ(n0; Act, Inp, CS, Outp) ∥ CSPAWN(n0 - 1; Act, Inp, CS, Outp) ] CInv(n, Act, CS)

Rule argument

pos: right 1

Additional information

Used simplifier rules: CSPAWN(n; Act, Inp, CS, Outp) {if* n = 0 then CSEQ(n; Act, Inp, CS, Outp) else CSEQ(n; Act, Inp, CS, Outp) ∥ CSPAWN(n - 1; Act, Inp, CS, Outp) };