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Proof step 5 from proof valid-peb-write-valid-peb (previous step)

apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar), n < # apebs, ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf, m, boolvar)), valid-peb(mkpeb(aehdr, avhdr, buf, m, boolvar)), m ≤ m0, m0 ≤ LEB_SIZE, m ≤ LEB_SIZE ⊦ valid-peb(mkpeb(aehdr, avhdr, subarray(buf, 0, m0) + buf1, m1, false))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ ubi-io-inv(apebs) ↔ (∀ n. n < # apebs → ubi-io-peb-inv(apebs[n]))
Proof step 7:
apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar), n < # apebs, ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf, m, boolvar)), valid-peb(mkpeb(aehdr, avhdr, buf, m, boolvar)), m ≤ LEB_SIZE, m0 ≤ LEB_SIZE, m ≤ m0, ∀ n. n < # apebs → ubi-io-peb-inv(apebs[n]) ⊦ valid-peb(mkpeb(aehdr, avhdr, subarray(buf, 0, m0) + buf1, m1, false))

Rule argument

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

Additional information

Used terms: apebs