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Proof step 122 from proof refine-write (previous step)

# avol0 = # lpt + m6, avol0[m6 + m8] = mapped(buf0), avol0[0] = mapped(buf1), avol0[m3] = mapped(buf2), avol0[m2] = mapped(buf3), avol = avol1, avol1 = subarray(avol0, m6, # lpt), m = m9, m0 = m7, m1 = m8, n0 = n, n1 = n2, ns = orphans, plog = log, m8 < # lpt, disk-layout(mksb(adr, m9, m2, m3, m4, m5, m6), # lpt), ebm-vol-inv(subarray(avol0, m6, # lpt)), ebm-vol-inv(avol0), is-aligned(m7, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-encoded(mksb(adr, m9, m2, m3, m4, m5, m6), 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(# lpt, LEB_SIZE)), m7 + n ≤ LEB_SIZE, # buf0 ≤ m7, n2 + n ≤ # buf, ⌊err0⌋ , logoff ≠ LEB_SIZE → # buf3 = logoff, m1 < # avol → m1 < # avol ∧ (avol[m1].mapped? → avol[m1].mapped? ∧ m1 < # avol) ⊦ n = 0, m1 < # avol ∧ avol[m1].mapped? ∧ # avol[m1].data ≤ m0 ∧ is-aligned(m0, EB_PAGE_SIZE) ∧ is-aligned(n0, EB_PAGE_SIZE) ∧ m0 + n0 ≤ LEB_SIZE ∧ n1 + n0 ≤ # buf

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf).data = buf; (s)% ⊦ mapped(buf).mapped?; (s)% ⊦ n0 < n → subarray(avol, m, n)[n0] = avol[m + n0]; (s)% ⊦ # subarray(avol, m, n) = n; (s)