| dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), 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, ino1, dirs, files), of-cons(of, dirs, files), pr(user, md), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ dirs, ⌊err0⌋ , psynced → asynced ⊦ [err := err0] ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings1, err1)⟩ ((psynced → asynced) ∧ strings = strings1 ∧ err = err1) |
dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, 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, ino1, dirs, files), of-cons(of, dirs, files), pr(user, md), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ dirs, ⌊err0⌋ , psynced → asynced ⊦ ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings1, err1)⟩ ((psynced → asynced) ∧ strings = strings1 ∧ err0 = err1)