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Proof step 43 from proof refine-read-data (previous step)

# buf0 = n3 + n2 + n1, # buf3 = # buf0, pebs[m3] = mkpeb(buf2, m4, false), apebs[m3] = mkpeb(aehdr, avhdr, buf1, m2, false), subarray(buf3, n2, n1) = subarray(buf2, m1 + 2 * EB_PAGE_SIZE, n1), n2 + n1 < # buf0, n < # buf0, m3 < # apebs, m3 < # pebs, abs(pebs, apebs), abs-peb(mkpeb(buf2, m4, false), mkpeb(aehdr, avhdr, buf1, m2, false)), mtd-cons(pebs), range=(buf3, 0, buf0, 0, n2), ubi-io-inv(apebs), m1 + n1 ≤ LEB_SIZE, (m1 + 2 * EB_PAGE_SIZE) + n1 ≤ PEB_SIZE, n2 + n1 ≤ n, ∀ n. n < n3 → buf3[(n2 + n1) + n] = buf0[(n2 + n1) + n] ⊦ buf3[n] = buf0[n], n3 = 0

User applied rule all left

And obtained the following new goals

Proof step 44:
# buf3 = # buf0, # buf0 = n3 + n2 + n1, apebs[m3] = mkpeb(aehdr, avhdr, buf1, m2, false), pebs[m3] = mkpeb(buf2, m4, false), subarray(buf3, n2, n1) = subarray(buf2, m1 + 2 * EB_PAGE_SIZE, n1), m3 < # pebs, m3 < # apebs, n < # buf0, n2 + n1 < # buf0, abs(pebs, apebs), abs-peb(mkpeb(buf2, m4, false), mkpeb(aehdr, avhdr, buf1, m2, false)), mtd-cons(pebs), range=(buf3, 0, buf0, 0, n2), ubi-io-inv(apebs), n2 + n1 ≤ n, (m1 + 2 * EB_PAGE_SIZE) + n1 ≤ PEB_SIZE, m1 + n1 ≤ LEB_SIZE, n - n2 + n1 < n3 → buf3[(n2 + n1) + (n - n2 + n1)] = buf0[(n2 + n1) + (n - n2 + n1)] ⊦ buf3[n] = buf0[n], n3 = 0

Rule argument

pos: left 18 terms: n - n2 + n1 abort: F discard: T computed: F

Additional information

Used terms: n - n2 + n1