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Proof step 26 from proof valid-peb-write-valid-peb (previous step)

# buf = LEB_SIZE, LEB_SIZE = n0 + m, apebs[n] = mkpeb(aehdr, avidhdr(v, m2, m4, m3, m1), buf, m, false), subarray(buf, m, n0) = mkempbuf(n0), aehdr.valid?, n < # apebs, is-aligned(m, EB_PAGE_SIZE), m ≤ m0, m0 ≤ LEB_SIZE, m ≤ LEB_SIZE, m3 ≠ 0 → m3 ≤ datasize(buf) ∧ m1 = checksum(buf, m3) ⊦ aehdr = empty, avidhdr(v, m2, m4, m3, m1) = avidhdr(v, m2, m4, m3, m1) ∧ (m3 ≠ 0 → m3 ≤ datasize(subarray(buf, 0, m0) + buf1) ∧ m1 = checksum(subarray(buf, 0, m0) + buf1, m3))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
# buf = LEB_SIZE, LEB_SIZE = n0 + m, apebs[n] = mkpeb(aehdr, avidhdr(v, m2, m4, m3, checksum(buf, m3)), buf, m, false), subarray(buf, m, n0) = mkempbuf(n0), aehdr.valid?, n < # apebs, is-aligned(m, EB_PAGE_SIZE), m3 ≤ LEB_SIZE, m3 ≤ datasize(buf), m ≤ m0, m0 ≤ LEB_SIZE, m ≤ LEB_SIZE ⊦ aehdr = empty, m3 = 0, m3 ≤ datasize(subarray(buf, 0, m0) + buf1) ∧ checksum(buf, m3) = checksum(subarray(buf, 0, m0) + buf1, m3)

Rule argument

Additional information

Used simplifier rules: datasize-le-fwd: ⊦ m ≤ datasize(buf) → m ≤ # buf; (forward) from specification datasize