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Theorem afs-cons-rename-dir-dentry

afs-cons(dirs, files), valid-dentry(old_parent_inode.ino, old_dent, dirs, files), valid-dentry(new_parent_inode.ino, new_dent, dirs, files), valid-dir-inode(old_parent_inode, dirs, files), valid-dir-inode(new_parent_inode, dirs, files), valid-dir-inode(old_child_inode, dirs, files), valid-dir-inode(new_child_inode, dirs, files), old_child_inode.ino = old_dent.ino, new_child_inode.ino = new_dent.ino, new_parent_inode.ino = old_parent_inode.ino → new_parent_inode.meta = old_parent_inode.meta, new_dent.ino ≠ ROOT_INO ∧ dir-empty(new_dent.ino, dirs, files) ⊦ ⟪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)

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