| m = # lpt, m0 = LEB_SIZE ⊦ ⟪persistence_io_format#(m, m0, lpt, adr, m1; sb, m2, m3, avol; logoff, err)⟫ ( ( err = ESUCCESS → (∃ lpt, log, orphans. persistence-io-inv(sb, logoff, avol, lpt, log, orphans)) ∧ m2 = EB_PAGE_SIZE ∧ m3 = LEB_SIZE ∧ ebm-vol-inv(avol)) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → sb.indexaddr = adr ∧ sb.maxino = m1 ∧ subarray(avol, sb.main, # avol - sb.main) = fill(mkavolume(m), unmapped) ∧ is-encoded(lpt, lebs(avol, sb.lpt, lptlebs(# avol - sb.main, LEB_SIZE))) ∧ is-encoded([], avol[sb.log].data) ∧ is-encoded(∅, avol[sb.orph].data))) |