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Proof step 41 from proof inv-io-read (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 42:
⊦ range=(buf, n0, buf0, n1, m) ↔ n0 + m ≤ # buf ∧ n1 + m ≤ # buf0 ∧ subarray(buf, n0, m) = subarray(buf0, n1, m)

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, buf] flags: <all paths>

Additional information

Used terms: n0, 0, buf2, 0, buf