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Proof step 40 from proof prepost-encode-orphans (previous step)

is-aligned(# buf, EB_PAGE_SIZE), is-encoded(orphans2, subarray(buf, 0, m0)), # orphans2 * ENCODED_NAT_SIZE ≤ LEB_SIZE, # buf ≤ LEB_SIZE, m0 ≤ # buf, m0 ≤ LEB_SIZE ⊦ is-aligned(m0 + (# buf - m0), EB_PAGE_SIZE) ∧ buf = subarray(buf, 0, m0) + subarray(buf, m0, # buf - m0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 41:
# buf = n0 + m0, is-aligned(# buf, EB_PAGE_SIZE), is-encoded(orphans2, subarray(buf, 0, m0)), m0 ≤ LEB_SIZE, m0 ≤ # buf, # buf ≤ LEB_SIZE, # orphans2 * ENCODED_NAT_SIZE ≤ LEB_SIZE ⊦ is-aligned(m0 + n0, EB_PAGE_SIZE) ∧ buf = subarray(buf, 0, m0) + subarray(buf, m0, n0)

Rule argument

spec: nat name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [# buf, m0, n]

Additional information

Used simplifier rules: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: # buf, m0, n