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Proof step 4 from proof refine-write (previous step)

# lpt = # avol0 - m6, m6 + # lpt0 = # avol0, avol0[m2] = mapped(buf3), avol0[m3] = mapped(buf2), avol0[0] = mapped(buf1), subarray(avol0, m6, # lpt)[m] = mapped(buf0), avol = subarray(avol0, m6, # lpt), sb = mksb(adr, m1, m2, m3, m4, m5, m6), m < # lpt0, disk-layout(sb, # lpt0), ebm-vol-inv(avol0), ebm-vol-inv(subarray(avol0, m6, # lpt)), is-aligned(n, EB_PAGE_SIZE), is-aligned(m0, EB_PAGE_SIZE), is-encoded(lpt0, lebs(avol0, m5, lptlebs(# lpt0, LEB_SIZE))), is-encoded(sb, buf1), is-encoded(lpt, lebs(avol0, m5, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf3), is-encoded-pad(orphans, m4, buf2), mapped-full?(avol0, m5, lptlebs(# lpt0, LEB_SIZE)), n0 + n ≤ # buf, m0 + n ≤ LEB_SIZE, # buf0 ≤ m0, logoff ≠ LEB_SIZE → # buf3 = logoff ⊦ ⟪persistence_io_write#(m, m0, n0, n, buf, sb; avol0; err)⟫ ⟨apersistence_io_write#(m, m0, n0, n, buf, adr, m1, log, lpt, orphans; avol; err0)⟩ ( # avol0 = m6 + (# avol0 - m6) ∧ avol = subarray(avol0, m6, # avol0 - m6) ∧ is-encoded(log, avol0[m2].data) ∧ is-encoded(lpt, lebs(avol0, m5, lptlebs(# avol0 - m6, LEB_SIZE))) ∧ is-encoded-pad(orphans, m4, avol0[m3].data) ∧ err = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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