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Proof step 21 from proof encode-contract (previous step)

# buf = n0 + ENCODED_ELEM_SIZE, # buf1 = n0 + ENCODED_ELEM_SIZE, subarray(buf1, 0, EB_PAGE_SIZE) = emptypage, subarray(buf1, ENCODED_ELEM_SIZE, n0) = subarray(buf, ENCODED_ELEM_SIZE, n0), is-encoded(a, subarray(buf1, 0, ENCODED_ELEM_SIZE)), EB_PAGE_SIZE ≤ n0 + ENCODED_ELEM_SIZE, ENCODED_ELEM_SIZE ≤ EB_PAGE_SIZE ⊦ isempty(subarray(buf1, 0, ENCODED_ELEM_SIZE))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
# buf1 = n0 + ENCODED_ELEM_SIZE, # buf = n0 + ENCODED_ELEM_SIZE, subarray(buf1, ENCODED_ELEM_SIZE, n0) = subarray(buf, ENCODED_ELEM_SIZE, n0), subarray(buf1, 0, EB_PAGE_SIZE) = emptypage, is-encoded(a, subarray(buf1, 0, ENCODED_ELEM_SIZE)), ENCODED_ELEM_SIZE ≤ EB_PAGE_SIZE, EB_PAGE_SIZE ≤ n0 + ENCODED_ELEM_SIZE ⊦ subarray(buf1, 0, ENCODED_ELEM_SIZE) = mkempbuf(ENCODED_ELEM_SIZE)

Rule argument

Additional information

Used simplifier rules: ⊦ # subarray(buf, m, n) = n; (s)% ⊦ isempty(buf) ↔ buf = mkempbuf(# buf); (s)