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Proof step 64 from proof refine-write-data (previous step)

2 * EB_PAGE_SIZE + m2 = (avhdr = empty ⊃ EB_PAGE_SIZE;m2 + 2 * EB_PAGE_SIZE), LEB_SIZE = (n1 + n) + m1, apebs[m3] = mkpeb(aehdr, avhdr, subarray(buf1, 2 * EB_PAGE_SIZE, LEB_SIZE), m2, false), pebs[m3] = mkpeb(buf1, 2 * EB_PAGE_SIZE + m2, false), avhdr.valid?, aehdr.valid?, m3 < # apebs, m3 < # pebs, n0 < n1, abs(pebs, apebs), abs-echdr(subarray(buf1, 0, EB_PAGE_SIZE), aehdr), abs-vidhdr(subarray(buf1, EB_PAGE_SIZE, EB_PAGE_SIZE), avhdr), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), ubi-io-inv(apebs), n + m1 ≤ LEB_SIZE, m1 + n ≤ LEB_SIZE, (m1 + 2 * EB_PAGE_SIZE) + n ≤ PEB_SIZE, m2 ≤ m1, m2 ≤ LEB_SIZE, m1 ≤ LEB_SIZE, n2 + n ≤ # buf, ∀ n. n < # pebs → mtd-valid-peb(pebs[n]) ⊦ buf1[(2 * EB_PAGE_SIZE + m1 + n) + n0] = empty, aehdr = empty

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 65:
2 * EB_PAGE_SIZE + m2 = (avhdr = empty ⊃ EB_PAGE_SIZE;m2 + 2 * EB_PAGE_SIZE), LEB_SIZE = (n1 + n) + m1, pebs[m3] = mkpeb(buf1, 2 * EB_PAGE_SIZE + m2, false), apebs[m3] = mkpeb(aehdr, avhdr, subarray(buf1, 2 * EB_PAGE_SIZE, LEB_SIZE), m2, false), aehdr.valid?, avhdr.valid?, n0 < n1, m3 < # pebs, m3 < # apebs, abs(pebs, apebs), abs-echdr(subarray(buf1, 0, EB_PAGE_SIZE), aehdr), abs-vidhdr(subarray(buf1, EB_PAGE_SIZE, EB_PAGE_SIZE), avhdr), is-aligned(n, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), ubi-io-inv(apebs), n2 + n ≤ # buf, m1 ≤ LEB_SIZE, m2 ≤ LEB_SIZE, m2 ≤ m1, (m1 + 2 * EB_PAGE_SIZE) + n ≤ PEB_SIZE, m1 + n ≤ LEB_SIZE, n + m1 ≤ LEB_SIZE, ∀ n3. n3 < # pebs → # pebs[n3].data = PEB_SIZE ∧ ( ¬ pebs[n3].bad → pebs[n3].fill ≤ PEB_SIZE ∧ is-aligned(pebs[n3].fill, EB_PAGE_SIZE) ∧ range=(pebs[n3].data, pebs[n3].fill, emptypeb, pebs[n3].fill, PEB_SIZE - pebs[n3].fill)) ⊦ buf1[(2 * EB_PAGE_SIZE + m1 + n) + n0] = empty, aehdr = empty

Rule argument

Additional information

Used simplifier rules: ⊦ mtd-valid-peb(peb) ↔ # peb.data = PEB_SIZE ∧ ( ¬ peb.bad → peb.fill ≤ PEB_SIZE ∧ is-aligned(peb.fill, EB_PAGE_SIZE) ∧ range= (peb.data, peb.fill, emptypeb, peb.fill, PEB_SIZE - peb.fill)); (s)