[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 21 from proof inv-renam (previous step)

err = ESUCCESS, p ≠ ε, dom of < ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px-parent(user, q, ROOT_INO, dirs, files), ¬ q + str ' ⊑ p ⊦ ⟪afs_iget#(ino1, dirs, files, asynced; inode, err); dent := negdentry(str); if err = ESUCCESS then if ¬ inode.directory then err := ENOTDIR else if ¬ px(user, inode.meta) ∨ ¬ pw(user, inode.meta) then err := EACCESS else {afs_lookup#(ino1, dirs, files, asynced; dent, err); if err = ESUCCESS then {afs_iget#(dent.ino, dirs, files, asynced; p_inode, err); if err = ESUCCESS then {isdir := p_inode.directory; if isdir then if p_inode.ino = ROOT_INO then err := EACCESS else if ¬ pw(user, p_inode.meta) then err := EACCESS}}}; old_inode := inode; old_dent := dent; old_dent_inode := p_inode; if err = ESUCCESS then let ino = ROOT_INO, dent = negdentry(p.last), p0 = parent(p) in {vfs_walk#(p0, user, dirs, files, asynced; ino, err); if err = ESUCCESS then vfs_may_lookup#(ino, user, dirs, files, asynced; inode, err); if err = ESUCCESS then {afs_lookup#(ino, dirs, files, asynced; dent, err); if err = ENOENT then vfs_may_create#(ino, dent, user, dirs, files, asynced; inode, err) else if err = ESUCCESS then vfs_may_delete_check#(ino, user, dirs, files, asynced; inode, isdir, dent, p_inode, err)}; new_inode := inode; new_dent := dent; new_dent_inode := p_inode}; if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then let dent = new_dent in {afs_rename#(; old_inode, new_inode, old_dent_inode, new_dent_inode, old_dent, new_dent, err, dirs, files; asynced); if dent.dentry? then vfs_put_inode#(new_dent_inode, of, asynced; err, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 22:
err = ESUCCESS, ino = ino1, dom of < ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px-parent(user, q, ROOT_INO, dirs, files) ⊦ ⟪if pre-iget(ino, dirs, files) then {{inode := getinode(ino, dirs, files); err := ESUCCESS} or fail#(; ; err)} else abort; dent := negdentry(str); if err = ESUCCESS then if ¬ inode.directory then err := ENOTDIR else if ¬ px(user, inode.meta) ∨ ¬ pw(user, inode.meta) then err := EACCESS else {afs_lookup#(ino1, dirs, files, asynced; dent, err); if err = ESUCCESS then {afs_iget#(dent.ino, dirs, files, asynced; p_inode, err); if err = ESUCCESS then {isdir := p_inode.directory; if isdir then if p_inode.ino = ROOT_INO then err := EACCESS else if ¬ pw(user, p_inode.meta) then err := EACCESS}}}; old_inode := inode; old_dent := dent; old_dent_inode := p_inode; if err = ESUCCESS then let ino = ROOT_INO, dent = negdentry(p.last), p0 = parent(p) in {vfs_walk#(p0, user, dirs, files, asynced; ino, err); if err = ESUCCESS then vfs_may_lookup#(ino, user, dirs, files, asynced; inode, err); if err = ESUCCESS then {afs_lookup#(ino, dirs, files, asynced; dent, err); if err = ENOENT then vfs_may_create#(ino, dent, user, dirs, files, asynced; inode, err) else if err = ESUCCESS then vfs_may_delete_check#(ino, user, dirs, files, asynced; inode, isdir, dent, p_inode, err)}; new_inode := inode; new_dent := dent; new_dent_inode := p_inode}; if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then let dent = new_dent in {afs_rename#(; old_inode, new_inode, old_dent_inode, new_dent_inode, old_dent, new_dent, err, dirs, files; asynced); if dent.dentry? then vfs_put_inode#(new_dent_inode, of, asynced; err, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), p = ε, q + str ' ⊑ p

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_iget#(INO, DIRS, FILES, ASYNCED; INODE, ERR) {if pre-iget(INO, DIRS, FILES) then { {INODE := getinode(INO, DIRS, FILES); ERR := ESUCCESS} or fail#(; ; ERR)} else abort };