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Proof step 21 from proof RG-restr-ok (previous step)

m0 ≤ m, m < n, CInv(n, act0, cs0), ∀ m0. m0 ≤ m → CRely(m0, act, cs, act0, cs0), CInv(n, act, cs), CInitto(m, act, cs), m0 < n ⊦ n = 0, CInit(m0, act0, cs0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 22:
⊦ CInitto(m, act1, cs1) ↔ (∀ m0. m0 ≤ m → CInit(m0, act1, cs1))
Proof step 23:
m0 ≤ m, m < n, CInv(n, act0, cs0), ∀ m0. m0 ≤ m → CRely(m0, act, cs, act0, cs0), CInv(n, act, cs), ∀ m0. m0 ≤ m → CInit(m0, act, cs), m0 < n ⊦ n = 0, CInit(m0, act0, cs0)

Rule argument

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

Additional information

Used terms: cs, act, m