| # avol0 = # lpt + m5, # avol0 = n0 + m5, avol0[m1] = mapped(buf1), avol0[m2] = mapped(buf0), avol0[0] = mapped(buf), avol1 = subarray(avol0, m5, # lpt), m6 < # lpt, disk-layout(mksb(adr, m0, m1, m2, m3, m4, m5), # lpt), ebm-vol-inv(avol0), ebm-vol-inv(subarray(avol0, m5, # lpt)), is-encoded(log, buf1), is-encoded(lpt, lebs(avol0, m4, lptlebs(# lpt, LEB_SIZE))), is-encoded(mksb(adr, m0, m1, m2, m3, m4, m5), buf), is-encoded-pad(orphans, m3, buf0), mapped-full?(avol0, m4, lptlebs(# lpt, LEB_SIZE)), m5 ≤ # avol0, ⌊err0⌋ , logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ ⟨apersistence_io_remap#(m6, adr, m0, log, lpt, orphans; avol1; err1)⟩ ( avol1 = subarray(avol0, m5, n0) ∧ is-encoded(log, avol0[m1].data) ∧ is-encoded(lpt, lebs(avol0, m4, lptlebs(n0, LEB_SIZE))) ∧ is-encoded-pad(orphans, m3, avol0[m2].data) ∧ err0 = err1) |
# avol0 = # lpt + m5, avol0[0] = mapped(buf), avol0[m2] = mapped(buf0), avol0[m1] = mapped(buf1), avol1 = subarray(avol0, m5, # lpt), m6 < # lpt, disk-layout(mksb(adr, m0, m1, m2, m3, m4, m5), # lpt), ebm-vol-inv(subarray(avol0, m5, # lpt)), ebm-vol-inv(avol0), is-encoded(mksb(adr, m0, m1, m2, m3, m4, m5), buf), is-encoded(lpt, lebs(avol0, m4, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf1), is-encoded-pad(orphans, m3, buf0), mapped-full?(avol0, m4, lptlebs(# lpt, LEB_SIZE)), ⌊err0⌋ , logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ ⟨apersistence_io_remap#(m6, adr, m0, log, lpt, orphans; avol1; err1)⟩ (avol1 = subarray(avol0, m5, # lpt) ∧ is-encoded(log, avol0[m1].data) ∧ is-encoded-pad(orphans, m3, avol0[m2].data) ∧ err0 = err1)
Used simplifier rules: lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ m ≤ m + n; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m + n = m + n0 ↔ n = n0; (s)