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Proof step 21 from proof valid-peb-write-valid-peb (previous step)

# buf = LEB_SIZE, LEB_SIZE = n0 + m, apebs[n] = mkpeb(aehdr, avhdr, buf, m, false), subarray(buf, m, n0) = mkempbuf(n0), n < # apebs, is-aligned(m, EB_PAGE_SIZE), valid-peb(v, m2, mkpeb(aehdr, avhdr, buf, m, false)), m ≤ LEB_SIZE, m0 ≤ LEB_SIZE, m ≤ m0 ⊦ aehdr = empty, avhdr = empty, ¬ mkpeb(aehdr, avhdr, subarray(buf, 0, m0) + buf1, m1, false).bad ∧ mkpeb(aehdr, avhdr, subarray(buf, 0, m0) + buf1, m1, false).echdr.valid? ∧ (∃ m4, m5, m3. mkpeb(aehdr, avhdr, subarray(buf, 0, m0) + buf1, m1, false).vidhdr = avidhdr(v, m2, m4, m5, m3) ∧ ( m5 ≠ 0 → m5 ≤ datasize(mkpeb(aehdr, avhdr, subarray(buf, 0, m0) + buf1, m1, false).data) ∧ m3 = checksum(mkpeb(aehdr, avhdr, subarray(buf, 0, m0) + buf1, m1, false).data, m5)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
# buf = LEB_SIZE, LEB_SIZE = n0 + m, apebs[n] = mkpeb(aehdr, avhdr, buf, m, false), subarray(buf, m, n0) = mkempbuf(n0), n < # apebs, is-aligned(m, EB_PAGE_SIZE), valid-peb(v, m2, mkpeb(aehdr, avhdr, buf, m, false)), m ≤ m0, m0 ≤ LEB_SIZE, m ≤ LEB_SIZE ⊦ aehdr = empty, avhdr = empty, aehdr.valid? ∧ (∃ m3, m4, m5. avhdr = avidhdr(v, m2, m3, m4, m5) ∧ (m4 ≠ 0 → m4 ≤ datasize(subarray(buf, 0, m0) + buf1) ∧ m5 = checksum(subarray(buf, 0, m0) + buf1, m4)))

Rule argument

Additional information

Used simplifier rules: ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).data = buf; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).echdr = aehdr; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).bad ↔ boolvar; (s)