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Proof step 10 from proof RG-restr-ok (previous step)

act0(m + 1) ↔ act(m + 1), Idle(m + 1, cs) ↔ Idle(m + 1, cs0), CInit(m + 1, act, cs), CInv(n, act, cs), Rely(m + 1, cs, cs0), CInv(n, act0, cs0), m < n ⊦ n = 0, CInit(m + 1, act0, cs0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ CInit(m, act1, cs1) ↔ Idle(m, cs1) ∧ ¬ act1(m)
Proof step 12:
act0(m + 1) ↔ act(m + 1), Idle(m + 1, cs) ↔ Idle(m + 1, cs0), Idle(m + 1, cs) ∧ ¬ act(m + 1), CInv(n, act, cs), Rely(m + 1, cs, cs0), CInv(n, act0, cs0), m < n ⊦ n = 0, CInit(m + 1, act0, cs0)

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, m + 1] flags: rewrite

Additional information

Used terms: cs, act, m + 1