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Proof step 37 from proof refine-write-data-wl (previous step)

LEB_SIZE = n0 + n, PEB_SIZE = n1 + 2 * EB_PAGE_SIZE, apebs[m1] = mkpeb(aehdr, avhdr, buf2, 0, false), pebs[m1] = mkpeb(buf1, 2 * EB_PAGE_SIZE, false), n = align↑(datasize(buf, n), EB_PAGE_SIZE), aehdr.valid?, avhdr.valid?, m1 < # pebs, m1 < # apebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, 2 * EB_PAGE_SIZE, false), mkpeb(aehdr, avhdr, buf2, 0, false)), is-aligned(n, EB_PAGE_SIZE), mtd-cons(pebs), range=(buf1, 2 * EB_PAGE_SIZE, emptypeb, 2 * EB_PAGE_SIZE, n1), ubi-io-inv(apebs), 2 * EB_PAGE_SIZE ≤ PEB_SIZE, n ≤ LEB_SIZE, 2 * EB_PAGE_SIZE + n ≤ PEB_SIZE, n ≤ # buf ⊦ datasize(buf, n) = 0, abs-peb (mkpeb(copy(buf, 0, buf1, 2 * EB_PAGE_SIZE, n), 2 * EB_PAGE_SIZE + n, false), mkpeb(aehdr, avhdr, subarray(buf, 0, n) + mkempbuf(n0), n, false))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 38:
LEB_SIZE = n0 + n, apebs[m1] = mkpeb(aehdr, avhdr, buf2, 0, false), pebs[m1] = mkpeb(buf1, 2 * EB_PAGE_SIZE, false), n = align↑(datasize(buf, n), EB_PAGE_SIZE), aehdr.valid?, avhdr.valid?, m1 < # pebs, m1 < # apebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, 2 * EB_PAGE_SIZE, false), mkpeb(aehdr, avhdr, buf2, 0, false)), is-aligned(n, EB_PAGE_SIZE), mtd-cons(pebs), range=(buf1, 2 * EB_PAGE_SIZE, emptypeb, 2 * EB_PAGE_SIZE, LEB_SIZE), ubi-io-inv(apebs), 2 * EB_PAGE_SIZE ≤ PEB_SIZE, n ≤ LEB_SIZE, 2 * EB_PAGE_SIZE + n ≤ PEB_SIZE, n ≤ # buf ⊦ datasize(buf, n) = 0, abs-peb (mkpeb(copy(buf, 0, buf1, 2 * EB_PAGE_SIZE, n), 2 * EB_PAGE_SIZE + n, false), mkpeb(aehdr, avhdr, subarray(buf, 0, n) + mkempbuf(n0), n, false))

Rule argument

Additional information

Used simplifier rules: ⊦ LEB_SIZE + 2 * EB_PAGE_SIZE = PEB_SIZE; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%pebsize-minus-2eb-page-size: ⊦ PEB_SIZE = n + 2 * EB_PAGE_SIZE → n = LEB_SIZE; (forward) from specification eraseblock