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Proof step 7 from proof ubi-io-initial-valid-sqns-h (previous step)

n0 < # apebs, ubi-io-initial(apebs), valid-peb(v, m, apebs[n0]), ∀ apebs, v, m. ubi-io-initial(apebs) ∧ n0 ≤ # apebs → valid-sqns(v, m, apebs, n0) = ∅ ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ ubi-io-initial(apebs) ↔ (∀ n. n < # apebs → ubi-io-peb-initial(apebs[n]))
Proof step 9:
n0 < # apebs, valid-peb(v, m, apebs[n0]), ∀ apebs, v, m. ubi-io-initial(apebs) ∧ n0 ≤ # apebs → valid-sqns(v, m, apebs, n0) = ∅, ∀ n. n < # apebs → ubi-io-peb-initial(apebs[n]) ⊦

Rule argument

spec: ubi-io-inv name: initial seq: ⊦ ubi-io-initial(apebs) ↔ (∀ n. n < # apebs → ubi-io-peb-initial(apebs[n])) subst: [apebs] → [apebs] flags: <all paths>

Additional information

Used terms: apebs