| # buf = VFS_PAGE_SIZE, dirs0 = dirs \ orphans(dirs, files), files0 = files \ orphans(dirs, files), inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), m ∈ files ⊦ ⟨if pre-writepage(inode, pageno, buf, dirs, files) then {{files[inode.ino].content[pageno] := buf; err := ESUCCESS} or fail#(; ; err); asynced := ?} else abort⟩ (asynced ∧ dirs0 = dirs \ orphans(dirs, files) ∧ files0 = files \ orphans(dirs, files)) |
# buf = VFS_PAGE_SIZE, dirs0 = dirs \ orphans(dirs, files), files0 = files \ orphans(dirs, files), inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), m ∈ files ⊦ ⟨{files[inode.ino].content[pageno] := buf; err := ESUCCESS} or fail#(; ; err); asynced := ?⟩ (asynced ∧ dirs0 = dirs \ orphans(dirs, files) ∧ files0 = files \ orphans(dirs, files))
Used simplifier rules: ⊦ pre-writepage(inode, n, buf, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ # buf = VFS_PAGE_SIZE; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)