| (ino1 ∈ dirs0 ⊃ mkinode(ino1, dirs0[ino1].meta, true, dirs0[ino1].nlink, dirs0[ino1].nsubdirs, dirs0[ino1].size) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ) = mkinode(m, md0, boolvar, m0, m1, m2), root[path].dir? ↔ ino1 ∈ dirs0, err = err0, err0 = ESUCCESS, fs = abs-files(files), inode = mkinode(m, md, boolvar, m0, m1, m2), root.dir?, inode.directory, 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, ino1, dirs0, files), of-cons(of, dirs0, files), pre-write-inode(inode, dirs0, files), pw(user, md0), px-parent(user, path, ROOT_INO, dirs0, files), dirs ≡ dirs0[inode.ino, dirs0[inode.ino].meta:= inode.meta], psynced → asynced0, ino1 ∈ dirs0 ∨ ino1 ∈ files ⊦ ⟪asynced := ?⟫ ⟨posix_writemeta#(path, md, user, abs-of(of); err1, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ ESUCCESS = err1) |
(ino1 ∈ dirs0 ⊃ mkinode(ino1, dirs0[ino1].meta, true, dirs0[ino1].nlink, dirs0[ino1].nsubdirs, dirs0[ino1].size) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ) = mkinode(m, md0, boolvar, m0, m1, m2), root[path].dir? ↔ ino1 ∈ dirs0, err = err0, err0 = ESUCCESS, fs = abs-files(files), inode = mkinode(m, md, boolvar, m0, m1, m2), root.dir?, inode.directory, 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, ino1, dirs0, files), of-cons(of, dirs0, files), pre-write-inode(inode, dirs0, files), pw(user, md0), px-parent(user, path, ROOT_INO, dirs0, files), dirs ≡ dirs0[inode.ino, dirs0[inode.ino].meta:= inode.meta], psynced → asynced0, ino1 ∈ dirs0 ∨ ino1 ∈ files ⊦ ⟨posix_writemeta#(path, md, user, abs-of(of); err1, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ ESUCCESS = err1)