| (ino1 ∈ dirs ⊃ mkinode(ino1, dirs[ino1].meta, true, dirs[ino1].nlink, dirs[ino1].nsubdirs, dirs[ino1].size) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ) = mkinode(m, md0, boolvar, m0, m1, m2), root[path].dir? ↔ ino1 ∈ dirs, err = err0, err0 = ESUCCESS, fs = abs-files(files), inode = mkinode(m, md, boolvar, m0, m1, m2), root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pre-write-inode(inode, dirs, files), pw(user, md0), px-parent(user, path, ROOT_INO, dirs, files), psynced → asynced0, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ ⟪files[inode.ino].meta := inode.meta; files[inode.ino].size := inode.size; err := ESUCCESS; asynced := ?⟫ ⟨posix_writemeta#(path, md, user, abs-of(of); err1, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err1), inode.directory |
(ino1 ∈ dirs ⊃ mkinode(ino1, dirs[ino1].meta, true, dirs[ino1].nlink, dirs[ino1].nsubdirs, dirs[ino1].size) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ) = mkinode(m, md0, boolvar, m0, m1, m2), root[path].dir? ↔ ino1 ∈ dirs, err = err0, err0 = ESUCCESS, fs = abs-files(files), inode = mkinode(m, md, boolvar, m0, m1, m2), root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pre-write-inode(inode, dirs, files), pw(user, md0), px-parent(user, path, ROOT_INO, dirs, files), psynced → asynced0, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ ⟪files := files[inode.ino, files[inode.ino].meta:= inode.meta] [inode.ino, files[inode.ino, files[inode.ino].meta:= inode.meta][inode.ino].size:= inode.size ]; err := ESUCCESS; asynced := ?⟫ ⟨posix_writemeta#(path, md, user, abs-of(of); err1, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err1), inode.directory