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Proof step 19 from proof RG-restr-ok (previous step)

m0 ≤ m, m < n, CInv(n, act0, cs0), CRelyto(m, 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 20:
⊦ CRelyto(m, act, cs, act0, cs0) ↔ (∀ m0. m0 ≤ m → CRely(m0, act, cs, act0, cs0))
Proof step 21:
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)

Rule argument

spec: CSPAWN+Preds inst: name: CRrelyto-def seq: ⊦ CRelyto(m, act, cs, act0, cs0) ↔ (∀ m0. m0 ≤ m → CRely(m0, act, cs, act0, cs0)) subst: [cs0, act0, cs, act, m] → [cs0, act0, cs, act, m] flags: rewrite

Additional information

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