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Proof step 120 from proof refine-add-log-leb (previous step)

# buf0 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, avol1[m5] = mapped(buf), bleb0 = bleb, plog = plog0, ¬ rofs, wbuf = mkwbuf(buf0, m4, m3), m5 < # avol1, abs(avol1, bleb, mkwbuf(buf0, m4, m3), avol0, rofs), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), synced(avol1), bleb ≠ nobuffer → bleb.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf0, m4, m3), avol0[bleb.leb], rofs), bleb = nobuffer ∨ m3 = 0 ⊦ bleb = buffered(m5), m5 < # avol0 ∧ (avol0[m5].mapped? → (avol1[m5].mapped? ∧ m5 < # avol1) ∧ avol0[m5].mapped? ∧ m5 < # avol0)

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf).mapped?; (s)%n < # avol ⊦ abs(avol, bleb, wbuf, avol0, rofs) ∧ avol[n] = mapped(buf) → (avol0[n].mapped? ↔ true); (ss)% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)