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Proof step 56 from proof initial-ex-abstract-initial (previous step)

m0 + 1 = # pebs, pebs[m0] = mkpeb(buf, m, true), n < m0, abs(subarray(pebs, 0, m0), apebs), ubi-io-initial(pebs), ubi-io-initial(apebs) ⊦ n = m0, ubi-io-peb-initial(apebs[n])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 57:
⊦ ubi-io-initial(apebs) ↔ (∀ n. n < # apebs → ubi-io-peb-initial(apebs[n]))
Proof step 58:
m0 + 1 = # pebs, pebs[m0] = mkpeb(buf, m, true), n < m0, abs(subarray(pebs, 0, m0), apebs), ubi-io-initial(pebs), ∀ n. n < # apebs → ubi-io-peb-initial(apebs[n]) ⊦ n = m0, 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