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Proof step 42 from proof RG-restr-ok (previous step)

m0 < n, Guar(m + 1, cs, cs0), CInv(n, act0, cs0), CInv(n, act, cs), m < n, m0 ≤ m, ∀ m0. m0 ≠ m + 1 → (act0(m0) ↔ act(m0)) ∧ (Idle(m0, cs) ↔ Idle(m0, cs0)), (¬ act(m + 1) → Idle(m + 1, cs)) → ¬ act0(m + 1) → Idle(m + 1, cs0) ⊦ n = 0, CRely(m0, act, cs, act0, cs0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 43:
⊦ CRely(m, act1, cs1, act2, cs2) ↔ Rely(m, cs1, cs2) ∧ (Idle(m, cs1) ↔ Idle(m, cs2)) ∧ (act2(m) ↔ act1(m))
Proof step 44:
m0 < n, Guar(m + 1, cs, cs0), CInv(n, act0, cs0), CInv(n, act, cs), m < n, m0 ≤ m, ∀ m0. m0 ≠ m + 1 → (act0(m0) ↔ act(m0)) ∧ (Idle(m0, cs) ↔ Idle(m0, cs0)), (¬ act(m + 1) → Idle(m + 1, cs)) → ¬ act0(m + 1) → Idle(m + 1, cs0) ⊦ n = 0, Rely(m0, cs, cs0) ∧ (Idle(m0, cs) ↔ Idle(m0, cs0)) ∧ (act0(m0) ↔ act(m0))

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, m0] flags: rewrite

Additional information

Used terms: cs0, act0, cs, act, m0