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Proof step 91 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(apebs), ubi-io-initial(pebs), EB_PAGE_SIZE ≤ PEB_SIZE ⊦ ( (empty = empty → subarray(buf, EB_PAGE_SIZE, EB_PAGE_SIZE) = emptypage) ∧ (empty.valid? → is-encoded(vidhdr(empty.vol, empty.leb, empty.sqn, empty.size, empty.checksum), subarray(buf, EB_PAGE_SIZE, EB_PAGE_SIZE))) ∧ (empty = garbage → is-garbage-vid(subarray(buf, EB_PAGE_SIZE, EB_PAGE_SIZE)) ∧ subarray(buf, EB_PAGE_SIZE, EB_PAGE_SIZE) ≠ emptypage)) ∧ subarray(buf, 2 * EB_PAGE_SIZE, LEB_SIZE) = mkempbuf(LEB_SIZE)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 92:
# 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 ⊦ subarray(buf, EB_PAGE_SIZE, EB_PAGE_SIZE) = emptypage ∧ subarray(buf, 2 * EB_PAGE_SIZE, LEB_SIZE) = mkempbuf(LEB_SIZE)

Rule argument

Additional information

Used simplifier rules: ⊦ empty ≠ garbage; (s)% ⊦ ¬ empty.valid?; (s)