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Proof step 37 from proof refine-read-data (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 38:
# 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), m3 < # apebs, m3 < # pebs, n < n2, n < # buf0, abs(pebs, apebs), abs-peb(mkpeb(buf2, m4, false), mkpeb(aehdr, avhdr, buf1, m2, false)), mtd-cons(pebs), range=(buf3, n2 + n1, buf0, n2 + n1, n3), ubi-io-inv(apebs), m1 + n1 ≤ LEB_SIZE, (m1 + 2 * EB_PAGE_SIZE) + n1 ≤ PEB_SIZE, n2 + n1 ≤ # buf0, n2 ≤ # buf0, ∀ n0. n0 < n2 → buf3[n0] = buf0[n0] ⊦ buf3[n] = buf0[n]

Rule argument

Additional information

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