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Proof step 29 from proof CSEQ-sat-rely-guar (previous step)

INDHYP-nat(n0), CInv(n, act, cs0), Idle(m, cs0), m ≤ n, ¬ Inv(cs0) ∨ ¬(n < m0 → Idle(m0, cs0) ∧ ¬(m ≠ m0 → act(m0))) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 30:
⊦ CInv(m, act, cs) ↔ Inv(cs) ∧ (∀ m0. m < m0 → Idle(m0, cs) ∧ ¬ act(m0))
Proof step 31:
INDHYP-nat(n0), Inv(cs0) ∧ (∀ m0. n < m0 → Idle(m0, cs0) ∧ ¬ act(m0)), Idle(m, cs0), m ≤ n, ¬ Inv(cs0) ∨ ¬(n < m0 → Idle(m0, cs0) ∧ ¬(m ≠ m0 → act(m0))) ⊦

Rule argument

spec: CSPAWN+Preds inst: name: CInv-def seq: ⊦ CInv(m, act, cs) ↔ Inv(cs) ∧ (∀ m0. m < m0 → Idle(m0, cs) ∧ ¬ act(m0)) subst: [cs, act, m] → [cs0, act, n] flags: rewrite

Additional information

Used terms: cs0, act, n