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Proof step 42 from proof inv-write (previous step)

of[fd] = mkfile(m, mode, m0), files[m] = mkfile(m1, md, # links(m, dirs), content), buf-opt = none, dirs1 = dirs, err = ESUCCESS, ino = 0, ino0 = ino, ino1 = ino2, ino2 = 0, inode = mkinode(m, md, false, # links(m, dirs), 0, m1), n = m1, pageno = m1 / VFS_PAGE_SIZE, dom of < ino3, afs-cons(dirs, files), of-cons(of, dirs, files), m ∈ files, fd ∈ of, n0 ≤ # buf ⊦ [let ino = inode.ino, content = files[inode.ino].content, buf = ? in {ino1 := inode.size % VFS_PAGE_SIZE, ino0 := min(n, inode.size); isdir := inode.size ≤ n ∧ ino1 ≠ 0 ∧ (pageno ∈ content ∨ buf-opt.some?); if isdir then {if buf-opt.some? then buf := buf-opt.buf else buf := files[ino].content[pageno]; buf := fill(buf, zero, ino1, VFS_PAGE_SIZE - ino1); content[pageno] := buf; buf-opt := some(buf)}; files[ino].content := content upto ino0; let new_inode = inode in {new_inode.size := n; afs_inode_sync#(new_inode; dirs, files)}; inode := getinode(inode.ino, dirs, files); err := ESUCCESS}; asynced := ?; ino4 := 0; if err = ESUCCESS then vfs_write_loop#(m0, inode, m0 + n0, buf, dirs; ino4, err, files, asynced); if ino4 ≠ 0 then err := ESUCCESS; if err = ESUCCESS then let ino = inode.size in {n0 := ino4, ino1 := m0 + ino4; if ino4 ≠ 0 ∧ ino < ino1 then {inode.size := ino1; afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_write_inode#(inode; err, dirs, files; asynced)}; if err ≠ ESUCCESS then n0 := (m0 ≤ ino ⊃ ino - m0;0), err := ESUCCESS; of[fd].pos := m0 + n0}] (dirs1 = dirs → of-cons(of, dirs, files) ∧ dom of < ino3 ∧ afs-cons(dirs, files)), VFS_PAGE_SIZE = 0, n0 = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic symbolic execution applied rule let right

And obtained the following new goals

Rule argument

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