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Proof step 120 from proof initial-ex-abstract-initial (previous step)

# buf = PEB_SIZE, m0 + 1 = # pebs, pebs[m0] = mkpeb(buf, EB_PAGE_SIZE, false), abs(subarray(pebs, 0, m0), apebs), is-encoded(echdr(n), subarray(buf, 0, EB_PAGE_SIZE)), range=(buf, EB_PAGE_SIZE, emptypeb, EB_PAGE_SIZE, LEB_SIZE + EB_PAGE_SIZE), ubi-io-initial(pebs), ubi-io-initial(apebs), EB_PAGE_SIZE ≤ PEB_SIZE ⊦ ubi-io-peb-initial(mkpeb(aechdr(n), empty, mkempbuf(LEB_SIZE), 0, false))

User applied rule insert rewrite lemma

And obtained the following new goals

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] → [mkpeb(aechdr(n), empty, mkempbuf(LEB_SIZE), 0, false)] flags: <all paths>

Additional information

Used simplifier rules: ⊦ ubi-io-peb-inv(mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false)); (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).bad ↔ boolvar; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).echdr = aehdr; (s)% ⊦ aechdr(m).valid?; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s) Used terms: mkpeb(aechdr(n), empty, mkempbuf(LEB_SIZE), 0, false)