| # buf = EB_PAGE_SIZE, # lpt = # avol, buffered(m4) ≠ bleb, m4 < # avol, ebm-vol-inv(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], rofs) ⊦ ⟪apersistence_io_remap#(m4, adr, m, plog, lpt, ns; avol; err)⟫ ((bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], rofs)) ∧ ebm-vol-inv(avol) ∧ # lpt = # avol) |
ebm-vol-inv(avol), # lpt = # avol, m < # avol ⊦ ⟪apersistence_io_remap#(m, adr, m0, plog, lpt, ns; avol; err)⟫ (ebm-vol-inv(avol) ∧ # lpt = # avol)
# buf = EB_PAGE_SIZE, # lpt = # avol, adr0 = adr, lpt0 = lpt, m3 = m4, m5 = m, ns0 = ns, plog0 = plog, m4 < # avol, ebm-vol-inv(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], rofs) ⊦ [apersistence_io_remap#(m4, adr, m, plog, lpt, ns; avol; err)] ( ebm-vol-inv(avol) ∧ # lpt0 = # avol → (bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], rofs)) ∧ ebm-vol-inv(avol) ∧ # lpt = # avol), buffered(m4) = bleb