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Proof step 63 from proof refine-write-buf (previous step)

# buf1 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, rofs ↔ false, avol0[m4] = mapped(buf2), align↓(m2 + n3, EB_PAGE_SIZE) = n + m2, err = ESUCCESS, m = buffered(m4).leb, buffered(m4).isbuf?, avol1[m].mapped?, m < # avol1, m4 < # avol1, m2 < EB_PAGE_SIZE, abs(avol1, buffered(m4), mkwbuf(buf1, # buf2, m2), avol0, false), awbuf-inv(avol1, buffered(m4)), ebm-vol-inv(avol0), is-aligned(# buf2, EB_PAGE_SIZE), is-aligned(n + m2, EB_PAGE_SIZE), 0 + n3 ≤ # buf3, # buf2 + n + m2 ≤ LEB_SIZE, n ≤ # buf3, # buf2 + m2 + n3 ≤ LEB_SIZE, EB_PAGE_SIZE ≤ m2 + n3, n3 ≤ # buf3, # avol1[m4].data + n3 ≤ LEB_SIZE, n + (m2 + n3) % EB_PAGE_SIZE ≤ # buf3 ⊦ n + m2 = 0, n3 = 0, abs (avol1[m, mapped(avol1[m].data + subarray(buf3, 0, n3))], buffered(m4), mkwbuf(copy(buf3, n, buf1, 0, (m2 + n3) % EB_PAGE_SIZE), # buf2 + n + m2, (m2 + n3) % EB_PAGE_SIZE), avol0[m4, mapped(avol0[m4].data + copy(buf3, 0, copy(buf1, 0, mkbuf(n + m2), 0, m2), m2, n))], false) ∧ ¬ rofs ∧ ESUCCESS = err

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 64:
# buf1 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, avol1[m4] = mapped(buf), avol0[m4] = mapped(buf2), align↓(m2 + n3, EB_PAGE_SIZE) = n + m2, m4 < # avol1, m2 < EB_PAGE_SIZE, abs(avol1, buffered(m4), mkwbuf(buf1, # buf2, m2), avol0, false), awbuf-inv(avol1, buffered(m4)), ebm-vol-inv(avol0), is-aligned(# buf2, EB_PAGE_SIZE), is-aligned(n + m2, EB_PAGE_SIZE), n + (m2 + n3) % EB_PAGE_SIZE ≤ # buf3, # buf2 + n + m2 ≤ LEB_SIZE, n ≤ # buf3, # buf2 + m2 + n3 ≤ LEB_SIZE, EB_PAGE_SIZE ≤ m2 + n3, n3 ≤ # buf3, # buf + n3 ≤ LEB_SIZE ⊦ n + m2 = 0, n3 = 0, abs (avol1[m4, mapped(buf + subarray(buf3, 0, n3))], buffered(m4), mkwbuf(copy(buf3, n, buf1, 0, (m2 + n3) % EB_PAGE_SIZE), # buf2 + n + m2, (m2 + n3) % EB_PAGE_SIZE), avol0[m4, mapped(buf2 + copy(buf3, 0, copy(buf1, 0, mkbuf(n + m2), 0, m2), m2, n))], false)

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf).data = buf; (s)% ⊦ buffered(m).isbuf?; (s)% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)% ⊦ buffered(m).leb = m; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)