| files[m] = mkfile(m0, md0, # links(m, dirs), content), err0 = ESUCCESS, fs = abs-files(files), 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), ROOT_INO ∈ dirs, m ∈ files, psynced → asynced0 ⊦ ⟨let fid = root[path].fid in fs[fid] := mkfile(md, fs[fid].content); psynced := ?⟩ (fs = abs-files(files[m, mkfile(m0, md, # links(m, dirs), content)]) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ ESUCCESS = err0), root[path].dir?, m ∈ dirs |
files[m] = mkfile(m0, md0, # links(m, dirs), content), err0 = ESUCCESS, fid = root[path].fid, fs = abs-files(files), 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 ∈ files, ROOT_INO ∈ dirs, psynced → asynced0 ⊦ ⟨fs[fid] := mkfile(md, fs[fid].content); psynced := ?⟩ (fs = abs-files(files[m, mkfile(m0, md, # links(m, dirs), content)]) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ ESUCCESS = err0), root[path].dir?, m ∈ dirs