| dirs0[m] = mkdir(# entries, md0, # links(m, dirs0), m2, entries), err0 = ESUCCESS, fs = abs-files(files), root.dir?, root[path].dir?, dom of < ino0, abs(root, ROOT_INO)(dirs0), afs-cons(dirs0, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, m, dirs0, files), of-cons(of, dirs0, files), pw(user, md0), px-parent(user, path, ROOT_INO, dirs0, files), m ∈ dirs0, dirs ≡ dirs0[m, mkdir(# entries, md, # links(m, dirs0), m2, entries)], psynced → asynced0 ⊦ ⟨root[path].meta := md; psynced := ?⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ ESUCCESS = err0) |
dirs0[m] = mkdir(# entries, md0, # links(m, dirs0), m2, entries), err0 = ESUCCESS, fs = abs-files(files), root[path].dir?, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs0), afs-cons(dirs0, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, m, dirs0, files), of-cons(of, dirs0, files), pw(user, md0), px-parent(user, path, ROOT_INO, dirs0, files), m ∈ dirs0, dirs ≡ dirs0[m, mkdir(# entries, md, # links(m, dirs0), m2, entries)], psynced → asynced0 ⊦ ⟨psynced := ?⟩ (fs = abs-files(files) ∧ abs(root[path, root[path].meta:= md], ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ ESUCCESS = err0)