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Proof step 605 from proof inv-write (previous step)

of[fd] = mkfile(m, mode, m0), files0[m] = mkfile(m1, md, # links(m, dirs0), content0), dirs = dirs0[ino, dirs0[ino].meta:= inode.meta], dirs1 = dirs0, err = ESUCCESS, files = files0[m, mkfile(m1, md, # links(m, dirs0), content0 upto m1)], ino = inode.ino, inode = mkinode(m, md, false, # links(m, dirs0), 0, m1), inode0 = (inode1.ino ∈ dirs ⊃ mkinode(inode1.ino, dirs[inode1.ino].meta, true, dirs[inode1.ino].nlink, dirs[inode1.ino].nsubdirs, dirs[inode1.ino].size) ;mkinode(inode1.ino, files[inode1.ino].meta, false, files[inode1.ino].nlink, 0, files[inode1.ino].size) ), inode1 = mkinode(m, md, false, # links(m, dirs0), 0, m1), dom of < ino3, afs-cons(dirs0, files0), of-cons(of, dirs0, files0), m ∈ files0, fd ∈ of, ino ∈ dirs0, n0 ≤ # buf0 ⊦ [asynced := ?; ino4 := 0; if err = ESUCCESS then vfs_write_loop#(m0, inode0, m0 + n0, buf0, dirs; ino4, err, files, asynced); if ino4 ≠ 0 then err := ESUCCESS; if err = ESUCCESS then let ino = inode0.size in {n0 := ino4, ino1 := m0 + ino4; if ino4 ≠ 0 ∧ ino < ino1 then {inode0.size := ino1; afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_write_inode#(inode0; 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)), n0 = 0, ino ∈ files, m1 % VFS_PAGE_SIZE ≠ 0 ∧ m1 / VFS_PAGE_SIZE ∈ content0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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