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Proof step 3 from proof align-down-elim (previous step)

⊦ buf = subarray(buf, 0, align↓(# buf, EB_PAGE_SIZE)) + subarray(buf, align↓(# buf, EB_PAGE_SIZE), # buf - align↓(# buf, EB_PAGE_SIZE)) ∧ # subarray(buf, align↓(# buf, EB_PAGE_SIZE), # buf - align↓(# buf, EB_PAGE_SIZE)) < EB_PAGE_SIZE

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ buf = subarray(buf, 0, align↓(# buf, EB_PAGE_SIZE)) + subarray(buf, align↓(# buf, EB_PAGE_SIZE), # buf - align↓(# buf, EB_PAGE_SIZE)) ∧ # buf < EB_PAGE_SIZE + align↓(# buf, EB_PAGE_SIZE)

Rule argument

Additional information

Used simplifier rules: n0 ≤ n ⊦ n - n0 < m ↔ n < m + n0; (s)%m ≠ 0 ⊦ align↓(n0, m) ≤ n0; (s)% ⊦ EB_PAGE_SIZE ≠ 0; (s)% ⊦ # subarray(buf, m, n) = n; (s)