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Proof step 2 from proof CInittosucc-Cinittp (previous step)

CInitto(n0 + 1, act, cs) ⊦ CInitto(n0, act, 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 + 1 → CInit(m0, act, cs) ⊦ CInitto(n0, act, 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 + 1] flags: rewrite

Additional information

Used terms: cs, act, n0 + 1