| # lpt0 = # avol0, # lpt = # avol, rofs0 ↔ rofs, adr = adr0, bleb0 = bleb, lpt = lpt0, m = m0, m1 = EB_PAGE_SIZE, ns = ns0, plog = plog0, abs(avol, bleb, wbuf, avol0, rofs), awbuf-inv(avol, bleb0), ebm-vol-inv(avol0), wbuf-cons(bleb, wbuf, avol0, rofs) ⊦ ⟪wbuf_requires_commit#(adr0, m0, plog0, avol0, lpt0, ns0; ; rofs1)⟫ ⟨awbuf_requires_commit#(adr, m, plog, avol, lpt, ns, bleb0, rofs0; ; rofs2)⟩ ( (abs(avol, bleb, wbuf, avol0, rofs) ∧ bleb0 = bleb ∧ adr = adr0 ∧ m = m0 ∧ plog = plog0 ∧ lpt = lpt0 ∧ ns = ns0 ∧ (rofs0 ↔ rofs)) ∧ (rofs1 ↔ rofs2)) |
# avol0 = # avol, # lpt0 = # avol, # wbuf.content = EB_PAGE_SIZE, abs(avol, bleb, wbuf, avol0, rofs), awbuf-inv(avol, bleb), ebm-vol-inv(avol0), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(wbuf, avol0[bleb.leb], rofs) ⊦ ⟪wbuf_requires_commit#(adr0, m0, plog0, avol0, lpt0, ns0; ; rofs1)⟫ ⟨awbuf_requires_commit#(adr0, m0, plog0, avol, lpt0, ns0, bleb, rofs; ; rofs2)⟩ (rofs1 ↔ rofs2)
Used simplifier rules: ⊦ wbuf-cons(bleb, wbuf, avol, rofs) ↔ # wbuf.content = EB_PAGE_SIZE ∧ ( bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(wbuf, avol[bleb.leb], rofs)); (s)