| dirs[m] = mkdir(# entries, md0, # links(m, dirs), m2, entries), root.dir?, root[path].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, m, dirs, files), of-cons(of, dirs, files), pw(user, md0), px-parent(user, path, ROOT_INO, dirs, files), m ∈ dirs, ⌊err0⌋ , psynced → asynced0 ⊦ ⟨fs := abs-files(files); posix_writemeta#(path, md, user, abs-of(of); err1, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err0 = err1) |
dirs[m] = mkdir(# entries, md0, # links(m, dirs), m2, entries), fs = abs-files(files), root[path].dir?, 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, m, dirs, files), of-cons(of, dirs, files), pw(user, md0), px-parent(user, path, ROOT_INO, dirs, files), m ∈ dirs, ⌊err0⌋ , psynced → asynced0 ⊦ ⟨posix_writemeta#(path, md, user, abs-of(of); err1, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err0 = err1)