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Proof step 12 from proof decode-contract (previous step)

is-encoded-nonempty(a, subarray(buf, 0, ENCODED_ELEM_SIZE)), EB_PAGE_SIZE ≤ # buf, ENCODED_ELEM_SIZE ≤ EB_PAGE_SIZE, ENCODED_ELEM_SIZE ≤ # buf ⊦ # subarray(buf, 0, EB_PAGE_SIZE) = EB_PAGE_SIZE ∧ ENCODED_ELEM_SIZE ≤ EB_PAGE_SIZE ∧ is-encoded-nonempty(a, subarray(subarray(buf, 0, EB_PAGE_SIZE), 0, ENCODED_ELEM_SIZE)) ∧ ¬ isempty(subarray(buf, 0, EB_PAGE_SIZE))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
is-encoded-nonempty(a, subarray(buf, 0, ENCODED_ELEM_SIZE)), ENCODED_ELEM_SIZE ≤ # buf, ENCODED_ELEM_SIZE ≤ EB_PAGE_SIZE, EB_PAGE_SIZE ≤ # buf ⊦ is-encoded-nonempty(a, subarray(subarray(buf, 0, EB_PAGE_SIZE), 0, ENCODED_ELEM_SIZE)) ∧ subarray(buf, 0, EB_PAGE_SIZE) ≠ emptypage

Rule argument

Additional information

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