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Proof step 31 from proof refine-markbad (previous step)

pebs[m] = mkpeb(buf0, m1, false), apebs[m] = mkpeb(aehdr, avhdr, buf, m0, false), m < # pebs, m < # apebs, abs(pebs, apebs), abs-peb(mkpeb(buf0, m1, false), mkpeb(aehdr, avhdr, buf, m0, false)), mtd-cons(pebs), ubi-io-inv(apebs) ⊦ abs-peb(mkpeb(buf0, m1, true), mkpeb(aehdr, avhdr, buf, m0, true))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: ubi-io-abs name: abs-peb seq: ⊦ abs-peb(peb, apeb) ↔ (peb.bad ↔ apeb.bad) ∧ ( ¬ peb.bad → peb.fill = (apeb.echdr = empty ⊃ 0 ;(apeb.vidhdr = empty ⊃ EB_PAGE_SIZE ;apeb.fill + 2 * EB_PAGE_SIZE ) ) ∧ abs-echdr (subarray(peb.data, 0, EB_PAGE_SIZE), apeb.echdr) ∧ abs-vidhdr (subarray(peb.data, EB_PAGE_SIZE, EB_PAGE_SIZE), apeb.vidhdr) ∧ subarray(peb.data, 2 * EB_PAGE_SIZE, LEB_SIZE) = apeb.data) subst: [apeb, peb] → [mkpeb(aehdr, avhdr, buf, m0, true), mkpeb(buf0, m1, true)] flags: <all paths>

Additional information

Used simplifier rules: ⊦ mkpeb(buf, m, boolvar).bad ↔ boolvar; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).bad ↔ boolvar; (s) Used terms: mkpeb(aehdr, avhdr, buf, m0, true), mkpeb(buf0, m1, true)