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Proof step 32 from proof inv-io-read (previous step)

# buf = # buf2, # buf2 = n2 + n0 + n, UBI_READ_RETRIES = n1 + m4, pebs[m3] = mkpeb(buf1, m2, false), m3 < # pebs, mtd-cons(pebs), range=(buf, n0 + n, buf2, n0 + n, n2), range=(buf, 0, buf2, 0, n0), m4 ≤ UBI_READ_RETRIES, m4 ≤ UBI_READ_RETRIES + 1, n0 + n ≤ # buf2, m1 + n ≤ PEB_SIZE, ⌊err1⌋ ⊦ range=(copy(buf1, m1, buf, n0, n), 0, buf2, 0, n0) ∧ range=(copy(buf1, m1, buf, n0, n), n0 + n, buf2, n0 + n, n2)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 33:
⊦ range=(buf, n0, buf0, n1, m) ↔ n0 + m ≤ # buf ∧ n1 + m ≤ # buf0 ∧ subarray(buf, n0, m) = subarray(buf0, n1, m)
Proof step 34:
# buf2 = n2 + n0 + n, # buf = # buf2, UBI_READ_RETRIES = n1 + m4, pebs[m3] = mkpeb(buf1, m2, false), m3 < # pebs, mtd-cons(pebs), range=(buf, 0, buf2, 0, n0), range=(buf, n0 + n, buf2, n0 + n, n2), m1 + n ≤ PEB_SIZE, n0 + n ≤ # buf2, m4 ≤ UBI_READ_RETRIES + 1, m4 ≤ UBI_READ_RETRIES, ⌊err1⌋ ⊦ (0 + n0 ≤ # copy(buf1, m1, buf, n0, n) ∧ 0 + n0 ≤ # buf2 ∧ subarray(copy(buf1, m1, buf, n0, n), 0, n0) = subarray(buf2, 0, n0)) ∧ range=(copy(buf1, m1, buf, n0, n), n0 + n, buf2, n0 + n, n2)

Rule argument

spec: array-splice, inst: buffer name: range-eq-subarrays seq: ⊦ range=(buf, n0, buf0, n1, m) ↔ n0 + m ≤ # buf ∧ n1 + m ≤ # buf0 ∧ subarray(buf, n0, m) = subarray(buf0, n1, m) subst: [m, n1, buf0, n0, buf] → [n0, 0, buf2, 0, copy(buf1, m1, buf, n0, n)] flags: <all paths>

Additional information

Used terms: n0, 0, buf2, 0, copy(buf1, m1, buf, n0, n)