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Proof step 58 from proof refine-add-log-leb (previous step)

# buf0 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, avol0[m5] = mapped(buf), err = ESUCCESS, plog = plog0, m5 < # avol1, abs(avol1, bleb, mkwbuf(buf0, m4, m3), avol0, false), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), synced(avol1), bleb ≠ nobuffer → bleb.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf0, m4, m3), avol0[bleb.leb], false), bleb = nobuffer ∨ m3 = 0 ⊦ bleb = buffered(m5), abs(avol1, buffered(m5), mkwbuf(buf0, # avol1[m5].data, 0), avol0, false) ∧ buffered(m5) = buffered(m5) ∧ plog + m5 ' = plog0 + m5 ' ∧ ESUCCESS = err

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 59:
# avol0 = # avol1, # lpt0 = # avol1, # buf0 = EB_PAGE_SIZE, avol0[m5] = mapped(buf), m5 < # avol1, abs(avol1, bleb, mkwbuf(buf0, m4, m3), avol0, false), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), synced(avol1), bleb ≠ nobuffer → bleb.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf0, m4, m3), avol0[bleb.leb], false), bleb = nobuffer ∨ m3 = 0 ⊦ bleb = buffered(m5), abs(avol1, buffered(m5), mkwbuf(buf0, # buf, 0), avol0, false)

Rule argument

Additional information

Used simplifier rules: abs-unbuffered: n < # avol0 ⊦ abs(avol0, bleb, wbuf, avol1, rofs) ∧ avol1[n] = mapped(buf) ∧ bleb ≠ buffered(n) → avol0[n] = mapped(buf);% ⊦ mapped(buf).data = buf; (s)% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)