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Proof step 22 from proof encode-contract (previous step)

# buf1 = # buf, subarray(buf1, n, ENCODED_ELEM_SIZE) = mkempbuf(ENCODED_ELEM_SIZE), subarray(buf1, 0, n) = subarray(buf, 0, n), subarray(buf1, n + ENCODED_ELEM_SIZE, # buf - n + ENCODED_ELEM_SIZE) = subarray(buf, n + ENCODED_ELEM_SIZE, # buf - n + ENCODED_ELEM_SIZE), is-encoded(a, subarray(buf1, n, ENCODED_ELEM_SIZE)), n + ENCODED_ELEM_SIZE ≤ # buf ⊦ isempty(buf1, n, ENCODED_ELEM_SIZE)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 23:
# buf1 = # buf, # buf = n0 + n + ENCODED_ELEM_SIZE, subarray(buf1, n + ENCODED_ELEM_SIZE, n0) = subarray(buf, n + ENCODED_ELEM_SIZE, n0), subarray(buf1, 0, n) = subarray(buf, 0, n), subarray(buf1, n, ENCODED_ELEM_SIZE) = mkempbuf(ENCODED_ELEM_SIZE), is-encoded(a, subarray(buf1, n, ENCODED_ELEM_SIZE)), n + ENCODED_ELEM_SIZE ≤ # buf ⊦ isempty(buf1, n, ENCODED_ELEM_SIZE)

Rule argument

spec: nat name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [# buf, n + ENCODED_ELEM_SIZE, n0]

Additional information

Used simplifier rules: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: # buf, n + ENCODED_ELEM_SIZE, n0