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Proof step 7 from proof RG-restr-ok (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ CRely(m, act1, cs1, act2, cs2) ↔ Rely(m, cs1, cs2) ∧ (Idle(m, cs1) ↔ Idle(m, cs2)) ∧ (act2(m) ↔ act1(m))
Proof step 9:
m < n, CInv(n, act0, cs0), Rely(m + 1, cs, cs0) ∧ (Idle(m + 1, cs) ↔ Idle(m + 1, cs0)) ∧ (act0(m + 1) ↔ act(m + 1)), CInv(n, act, cs), CInit(m + 1, act, cs) ⊦ n = 0, CInit(m + 1, act0, cs0)

Rule argument

spec: CSPAWN+Preds inst: name: CRely-def seq: ⊦ CRely(m, act1, cs1, act2, cs2) ↔ Rely(m, cs1, cs2) ∧ (Idle(m, cs1) ↔ Idle(m, cs2)) ∧ (act2(m) ↔ act1(m)) subst: [cs2, act2, cs1, act1, m] → [cs0, act0, cs, act, m + 1] flags: rewrite

Additional information

Used terms: cs0, act0, cs, act, m + 1