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Proof step 6 from proof CSPAWN-sat-rely-guar-ind (previous step)

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

User applied rule insert lemma

And obtained the following new goals

Proof step 7:
CInv(n, Act, CS), Idle(m, CS), m ≤ n ⊦ [: Act, Inp, CS, Outp | CRely(m, Act', CS', Act'', CS'') , CGuar(m, Act, CS, Act', CS') , CInv(n, Act, CS) , CSEQ(m; Act, Inp, CS, Outp) ] CInv(n, Act, CS)
Proof step 8:
[: Act, Inp, CS, Outp | CRely(0, Act', CS', Act'', CS'') , CGuar(0, Act, CS, Act', CS') , CInv(n, Act, CS) , CSEQ(0; Act, Inp, CS, Outp) ] CInv(n, Act, CS), CInv(n, Act, CS), CInitto(0, Act, CS) ⊦ [: Act, Inp, CS, Outp | CRelyto(0, Act', CS', Act'', CS'') , CGuarto(0, Act, CS, Act', CS') , CInv(n, Act, CS) , CSEQ(0; Act, Inp, CS, Outp) ] CInv(n, Act, CS)

Rule argument

spec: inst: name: CSEQ-sat-rely-guar seq: CInv(n, Act, CS), Idle(m, CS), m ≤ n ⊦ [: Act, Inp, CS, Outp | CRely(m, Act', CS', Act'', CS'') , CGuar(m, Act, CS, Act', CS') , CInv(n, Act, CS) , CSEQ(m; Act, Inp, CS, Outp) ] CInv(n, Act, CS) subst: [n, Act, CS, m, Inp, Outp] → [n, Act, CS, 0, Inp, Outp] flags: current, []

Additional information

Used simplifier rules: CInitto-Idle: ⊦ CInitto(n, act, cs) → (¬ Idle(n, cs) ↔ false);%lez: ⊦ 0 ≤ m; from specification nat Used terms: n, Act, CS, 0, Inp, Outp