| # avol0 = # avol1, # lpt0 = # avol1, # buf1 = EB_PAGE_SIZE, avol0[m4] = mapped(buf2), align↓(m2 + n3, EB_PAGE_SIZE) = n + m2, m2 < EB_PAGE_SIZE, m4 < # avol1, abs(avol1, buffered(m4), mkwbuf(buf1, # buf2, m2), avol0, false), awbuf-inv(avol1, buffered(m4)), ebm-vol-inv(avol0), is-aligned(n + m2, EB_PAGE_SIZE), is-aligned(# buf2, EB_PAGE_SIZE), n + (m2 + n3) % EB_PAGE_SIZE ≤ # buf3, # avol1[m4].data + n3 ≤ LEB_SIZE, n3 ≤ # buf3, EB_PAGE_SIZE ≤ m2 + n3, # buf2 + m2 + n3 ≤ LEB_SIZE, n ≤ # buf3, # buf2 + n + m2 ≤ LEB_SIZE ⊦ ∃ err0. (⌊err0⌋ ∨ err0 = ESUCCESS) ∧ ⟨err := err0; let m = buffered(m4).leb in {rofs := false; if err = ESUCCESS then avol1[m] := mapped(avol1[m].data + subarray(buf3, 0, n3)) else { {n0 := n3; buf := buf3; choose n with n ≠ 0 ∧ n < n0 ∧ is-aligned(# avol1[m].data + n, EB_PAGE_SIZE) in avol1[m] := mapped(avol1[m].data + subarray(buf, 0, n)) ifnone skip} or skip; rofs := true}}⟩ ( abs (avol1, 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), n + m2 = 0, n3 = 0 |
# buf1 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, avol0[m4] = mapped(buf2), align↓(m2 + n3, EB_PAGE_SIZE) = n + m2, n + m2 ≠ 0, n3 ≠ 0, 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), # 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 ⊦ ∃ err0. (⌊err0⌋ ∨ err0 = ESUCCESS) ∧ ⟨err := err0; let m = buffered(m4).leb in {rofs := false; if err = ESUCCESS then avol1[m] := mapped(avol1[m].data + subarray(buf3, 0, n3)) else { {n0 := n3; buf := buf3; choose n with n ≠ 0 ∧ n < n0 ∧ is-aligned(# avol1[m].data + n, EB_PAGE_SIZE) in avol1[m] := mapped(avol1[m].data + subarray(buf, 0, n)) ifnone skip} or skip; rofs := true}}⟩ ( abs (avol1, 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)