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Theorem refine-read

m < # avol, avol[m].mapped?, n + n0 ≤ # buf, m0 + n0 ≤ LEB_SIZE, m1 = sb.maxino, adr = sb.indexaddr, # avol0 = sb.main + # avol, avol = subarray(avol0, sb.main, # avol0 - sb.main), is-encoded(plog, avol0[sb.log].data), is-encoded(lpt, lebs(avol0, sb.lpt, lptlebs(# avol, LEB_SIZE))), is-encoded-pad(ns, sb.orphsize, avol0[sb.orph].data), ebm-vol-inv(avol), # lpt = # avol, ∃ lpt0, log, orphans. persistence-io-inv(sb, logoff, avol0, lpt0, log, orphans), m2 = EB_PAGE_SIZE, m3 = LEB_SIZE, ebm-vol-inv(avol0), buf = buf0 ⊦ ⟪persistence_io_read#(m, m0, n, n0, sb, avol0; buf; err)⟫ ⟨apersistence_io_read#(m, m0, n, n0, adr, m1, plog, avol, lpt, ns; buf0; err0)⟩ ( ( m1 = sb.maxino ∧ adr = sb.indexaddr ∧ # avol0 = sb.main + # avol ∧ avol = subarray(avol0, sb.main, # avol0 - sb.main) ∧ is-encoded(plog, avol0[sb.log].data) ∧ is-encoded(lpt, lebs(avol0, sb.lpt, lptlebs(# avol, LEB_SIZE))) ∧ is-encoded-pad(ns, sb.orphsize, avol0[sb.orph].data)) ∧ buf = buf0 ∧ err = err0)

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