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Proof step 37 from proof prepost-read-log (previous step)

# buf2 = EB_PAGE_SIZE, LEB_SIZE = n0 + # buf0, LEB_SIZE = n1 + logoff0, avol[m5] = mapped(buf0), copy(buf0 + mkempbuf(n0), logoff0, buf2, 0, EB_PAGE_SIZE) = emptypage, LEB_SIZE < n1 + logoff0 + EB_PAGE_SIZE, m5 < # avol, logoff0 < LEB_SIZE, # buf0 < n1 + logoff0 + EB_PAGE_SIZE, ebm-vol-inv(avol), is-aligned(logoff0, EB_PAGE_SIZE), is-encoded(log0, buf0), is-encoded(log, subarray(buf0, 0, logoff0)), # buf0 ≤ LEB_SIZE, logoff0 + EB_PAGE_SIZE ≤ LEB_SIZE, logoff0 ≤ # buf0 ⊦ # buf0 = logoff0, log0 = log, n1 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 38:
# buf2 = EB_PAGE_SIZE, LEB_SIZE = n0 + # buf0, LEB_SIZE = n1 + logoff0, avol[m5] = mapped(buf0), copy(buf0 + mkempbuf(n0), logoff0, buf2, 0, EB_PAGE_SIZE) = emptypage, logoff0 < # buf0, LEB_SIZE < n1 + logoff0 + EB_PAGE_SIZE, m5 < # avol, logoff0 < LEB_SIZE, # buf0 < n1 + logoff0 + EB_PAGE_SIZE, ebm-vol-inv(avol), is-aligned(logoff0, EB_PAGE_SIZE), is-encoded(log0, buf0), is-encoded(log, subarray(buf0, 0, logoff0)), # buf0 ≤ LEB_SIZE, logoff0 + EB_PAGE_SIZE ≤ LEB_SIZE ⊦ # buf0 = logoff0, log0 = log, n1 = 0

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≠ n → (m ≤ n ↔ m < n); (s)