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Proof step 30 from proof encode-contract (previous step)

# 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), n1 < n + ENCODED_ELEM_SIZE, n1 < # buf, n < # buf, is-encoded(a, subarray(buf1, n, ENCODED_ELEM_SIZE)), n + ENCODED_ELEM_SIZE ≤ # buf, n ≤ n1, ∀ n2. n2 < ENCODED_ELEM_SIZE → buf1[n + n2] = empty ⊦ n0 + ENCODED_ELEM_SIZE = 0, buf1[n1] = empty

User applied rule all left

And obtained the following new goals

Proof step 31:
# buf = n0 + n + ENCODED_ELEM_SIZE, # buf1 = # buf, subarray(buf1, 0, n) = subarray(buf, 0, n), subarray(buf1, n + ENCODED_ELEM_SIZE, n0) = subarray(buf, n + ENCODED_ELEM_SIZE, n0), n < # buf, n1 < # buf, n1 < n + ENCODED_ELEM_SIZE, is-encoded(a, subarray(buf1, n, ENCODED_ELEM_SIZE)), n ≤ n1, n + ENCODED_ELEM_SIZE ≤ # buf, n1 - n < ENCODED_ELEM_SIZE → buf1[n + (n1 - n)] = empty ⊦ n0 + ENCODED_ELEM_SIZE = 0, buf1[n1] = empty

Rule argument

pos: left 11 terms: n1 - n abort: F discard: T computed: F

Additional information

Used terms: n1 - n