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

2 * EB_PAGE_SIZE = (avhdr = empty ⊃ EB_PAGE_SIZE;2 * EB_PAGE_SIZE), LEB_SIZE = n0 + n, apebs[m1] = mkpeb(aehdr, avhdr, emptyleb, 0, false), pebs[m1] = mkpeb(buf1, 2 * EB_PAGE_SIZE, false), n = align↑(datasize(buf, n), EB_PAGE_SIZE), subarray(buf1, 2 * EB_PAGE_SIZE, LEB_SIZE) = emptyleb, aehdr.valid?, avhdr.valid?, n1 < LEB_SIZE, m1 < # pebs, m1 < # 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), mtd-cons(pebs), ubi-io-inv(apebs), 2 * EB_PAGE_SIZE ≤ PEB_SIZE, n ≤ LEB_SIZE, 2 * EB_PAGE_SIZE + n ≤ PEB_SIZE, n ≤ # buf, n ≤ n1 ⊦ aehdr = empty, datasize(buf, n) = 0, empty = (n1 < n ⊃ buf[n1];mkempbuf(n0)[n1 - n])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 65:
2 * EB_PAGE_SIZE = (avhdr = empty ⊃ EB_PAGE_SIZE;2 * EB_PAGE_SIZE), LEB_SIZE = n0 + n, pebs[m1] = mkpeb(buf1, 2 * EB_PAGE_SIZE, false), apebs[m1] = mkpeb(aehdr, avhdr, emptyleb, 0, false), n = align↑(datasize(buf, n), EB_PAGE_SIZE), subarray(buf1, 2 * EB_PAGE_SIZE, LEB_SIZE) = emptyleb, avhdr.valid?, aehdr.valid?, m1 < # apebs, m1 < # pebs, n1 < LEB_SIZE, n < LEB_SIZE, 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), mtd-cons(pebs), ubi-io-inv(apebs), n ≤ n1, n ≤ # buf, 2 * EB_PAGE_SIZE + n ≤ PEB_SIZE, 2 * EB_PAGE_SIZE ≤ PEB_SIZE ⊦ aehdr = empty, datasize(buf, n) = 0, empty = mkempbuf(n0)[n1 - n], n0 = 0

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m < m + n ↔ n ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic% ⊦ m < n → m ≤ n; (s)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat% ⊦ m ≤ n → (n < m ↔ false); (s)