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Proof step 8 from proof ls-datasize-wear-level (previous step)

# buf = LEB_SIZE, LEB_SIZE = n0 + m, subarray(buf, m, n0) = mkempbuf(n0), m < datasize(buf, LEB_SIZE), is-aligned(m, EB_PAGE_SIZE), m ≤ LEB_SIZE ⊦

User applied rule apply lemma

And obtained the following new goals

Proof step 9:
⊦ n < # buf → buf = subarray(buf, 0, n) + subarray(buf, n, # buf - n)
Proof step 10:
# buf = LEB_SIZE, LEB_SIZE = n0 + m, subarray(buf, m, n0) = mkempbuf(n0), m < datasize(buf, LEB_SIZE), is-aligned(m, EB_PAGE_SIZE), m ≤ LEB_SIZE, m < # buf → buf = subarray(buf, 0, m) + subarray(buf, m, # buf - m) ⊦

Rule argument

spec: array-splice, inst: buffer name: subarray-split-at seq: ⊦ n < # buf → buf = subarray(buf, 0, n) + subarray(buf, n, # buf - n) subst: [n, buf] → [m, buf]

Additional information

Used terms: m, buf