| isdir ↔ false, root[path].dir? ↔ ino0 ∈ dirs, err = ESUCCESS, err1 = (getinode(ino, dirs, files).directory ⊃ EISDIR;ENOTDIR), err2 = err3, err3 = ESUCCESS, fd = ino1, ino = ino0, ofh = abs-of(of), root.dir?, dom of < ino2, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pre-iget(ino, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), psynced → asynced ⊦ [skip] ( of-cons(of, dirs, files) ∧ dom of < ino2 → ⟨posix_open#(path, mode, user, root, abs-files(files); ino1, err0, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ fd = ino1 ∧ err1 = err0)), getinode(ino, dirs, files).directory ↔ isdir |
root[path].dir? ↔ ino0 ∈ dirs, isdir ↔ false, err = ESUCCESS, err1 = (getinode(ino, dirs, files).directory ⊃ EISDIR;ENOTDIR), err2 = err3, err3 = ESUCCESS, fd = ino1, ino = ino0, ofh = abs-of(of), root.dir?, dom of < ino2, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pre-iget(ino, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), psynced → asynced ⊦ ⟨posix_open#(path, mode, user, root, abs-files(files); ino1, err0, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ fd = ino1 ∧ err1 = err0), getinode(ino, dirs, files).directory ↔ isdir