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Theorem inv-rename-dir-dentry

icache-cons(icache, dirs, files), dcache-cons(dcache, dirs, files), pcache-cons(pcache, dirs, files), afs-cons(dirs, files), synced(dirs, icache, pcache), asynced → synced(files, icache, pcache), 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), new_parent_inode.ino = old_parent_inode.ino → new_parent_inode.meta = old_parent_inode.meta, old_child_inode.ino = old_dent.ino, new_child_inode.ino = new_dent.ino, new_dent.ino ≠ ROOT_INO ∧ dir-empty(new_dent.ino, dirs, files) ⊦ ⟪cache_rename# (; old_parent_inode, new_parent_inode, old_child_inode, new_child_inode, old_dent, new_dent, err, dirs, files, icache, dcache, asynced0)⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ afs-cons(dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced → synced(files, icache, pcache)))

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