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Proof step 2 from proof CInitto-Idle-less (previous step)

CInitto(n0, act, cs), n1 < n0 ⊦ n0 = 0, Idle(n1 + 1, cs)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ CInitto(m, act1, cs1) ↔ (∀ m0. m0 ≤ m → CInit(m0, act1, cs1))
Proof step 4:
∀ m0. m0 ≤ n0 → CInit(m0, act, cs), n1 < n0 ⊦ n0 = 0, Idle(n1 + 1, cs)

Rule argument

spec: CSPAWN inst: name: CInitto-def seq: ⊦ CInitto(m, act1, cs1) ↔ (∀ m0. m0 ≤ m → CInit(m0, act1, cs1)) subst: [cs1, act1, m] → [cs, act, n0] flags: rewrite

Additional information

Used terms: cs, act, n0