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Proof step 6 from proof afs-cons-rename-file-dentry (previous step)

old_child_inode.ino = m, new_child_inode.ino = dirs[new_parent_inode.ino].entries[str], old_child_inode.nlink = files[m].nlink, new_child_inode.nlink = files[new_child_inode.ino].nlink, old_parent_inode.nlink = dirs[old_parent_inode.ino].nlink, new_parent_inode.nlink = dirs[new_parent_inode.ino].nlink, old_child_inode.nsubdirs = 0, new_child_inode.nsubdirs = 0, old_parent_inode.nsubdirs = dirs[old_parent_inode.ino].nsubdirs, new_parent_inode.nsubdirs = dirs[new_parent_inode.ino].nsubdirs, old_parent_inode.size = dirs[old_parent_inode.ino].size, new_parent_inode.size = dirs[new_parent_inode.ino].size, m = dirs[old_parent_inode.ino].entries[str0], new_dent = mkdentry(str, new_child_inode.ino), old_dent = mkdentry(str0, m), old_dent.dentry?, old_parent_inode.directory, new_parent_inode.directory, afs-cons(dirs, files), m ∈ files, new_child_inode.ino ∈ files, old_parent_inode.ino ∈ dirs, new_parent_inode.ino ∈ dirs, str0 ∈ dirs[old_parent_inode.ino].entries, str ∈ dirs[new_parent_inode.ino].entries, new_parent_inode.ino = old_parent_inode.ino → new_parent_inode.meta = old_parent_inode.meta, links(old_parent_inode.ino, dirs) ≠ ∅ ∨ old_parent_inode.ino = ROOT_INO, links(new_parent_inode.ino, dirs) ≠ ∅ ∨ new_parent_inode.ino = ROOT_INO ⊦ ⟪afs_rename#(; old_parent_inode, new_parent_inode, old_child_inode, new_child_inode, old_dent, new_dent, err, dirs, files; asynced)⟫ afs-cons(dirs, files), old_child_inode.directory, new_child_inode.directory

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
new_child_inode.ino = dirs[new_parent_inode.ino].entries[str], old_child_inode.ino = dirs[old_parent_inode.ino].entries[str0], new_parent_inode.nlink = dirs[new_parent_inode.ino].nlink, old_parent_inode.nlink = dirs[old_parent_inode.ino].nlink, new_child_inode.nlink = files[new_child_inode.ino].nlink, old_child_inode.nlink = files[old_child_inode.ino].nlink, new_parent_inode.nsubdirs = dirs[new_parent_inode.ino].nsubdirs, old_parent_inode.nsubdirs = dirs[old_parent_inode.ino].nsubdirs, new_child_inode.nsubdirs = 0, old_child_inode.nsubdirs = 0, new_parent_inode.size = dirs[new_parent_inode.ino].size, old_parent_inode.size = dirs[old_parent_inode.ino].size, new_dent = mkdentry(str, new_child_inode.ino), old_dent = mkdentry(str0, old_child_inode.ino), new_parent_inode.directory, old_parent_inode.directory, afs-cons(dirs, files), str ∈ dirs[new_parent_inode.ino].entries, str0 ∈ dirs[old_parent_inode.ino].entries, new_parent_inode.ino ∈ dirs, old_parent_inode.ino ∈ dirs, new_child_inode.ino ∈ files, old_child_inode.ino ∈ files, ¬ new_child_inode.directory, ¬ old_child_inode.directory, new_parent_inode.ino = old_parent_inode.ino → new_parent_inode.meta = old_parent_inode.meta, links(new_parent_inode.ino, dirs) ≠ ∅ ∨ new_parent_inode.ino = ROOT_INO, links(old_parent_inode.ino, dirs) ≠ ∅ ∨ old_parent_inode.ino = ROOT_INO ⊦ ⟪afs_rename#(; old_parent_inode, new_parent_inode, old_child_inode, new_child_inode, old_dent, new_dent, err, dirs, files; asynced)⟫ afs-cons(dirs, files)

Rule argument

Additional information

Used simplifier rules: ⊦ mkdentry(str, m).dentry?; (s)