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Proof step 11 from proof ubi-io-initial-valid-sqns-h (previous step)

n0 < # apebs, ubi-io-peb-initial(apebs[n0]), 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 12:
⊦ ubi-io-peb-initial(apeb) ↔ ubi-io-peb-inv(apeb) ∧ (¬ apeb.bad → apeb.echdr.valid? ∧ apeb.vidhdr = empty)
Proof step 13:
n0 < # apebs, ubi-io-peb-inv(apebs[n0]), valid-peb(v, m, apebs[n0]), ¬ apebs[n0].bad → apebs[n0].echdr.valid? ∧ apebs[n0].vidhdr = empty, ∀ apebs, v, m. ubi-io-initial(apebs) ∧ n0 ≤ # apebs → valid-sqns(v, m, apebs, n0) = ∅ ⊦

Rule argument

spec: ubi-io-inv name: peb-initial seq: ⊦ ubi-io-peb-initial(apeb) ↔ ubi-io-peb-inv(apeb) ∧ (¬ apeb.bad → apeb.echdr.valid? ∧ apeb.vidhdr = empty) subst: [apeb] → [apebs[n0]] flags: <all paths>

Additional information

Used terms: apebs[n0]