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Proof step 8 from proof refine-link (previous step)

err = err0, fs = abs-files(files), root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced ⊦ [if path = ε ∨ path' = ε then err := EISDIR else {let ino = ROOT_INO, dent = negdentry(path.last), path = parent(path) in {vfs_walk#(path, user, dirs, files, asynced; ino, err); if err = ESUCCESS then vfs_may_link#(ino, user, dirs, files, asynced; inode, dent, err); c_inode := inode; old_dent := dent}; if err = ESUCCESS then let ino = ROOT_INO, dent = negdentry(path'.last), path = parent(path') in {vfs_walk#(path, user, dirs, files, asynced; ino, err); if err = ESUCCESS then vfs_may_create#(ino, dent, user, dirs, files, asynced; inode, err); new_inode := inode, new_dent := dent}; if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_link#(old_dent; new_inode, c_inode, new_dent, err, dirs, files; asynced)}] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_link#(path, path', user, fs, abs-of(of); err0, root; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err0))

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

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