1212    Any ,
1313    Callable ,
1414    DefaultDict ,
15-     Dict ,
1615    Hashable ,
1716    Iterable ,
18-     List ,
19-     Optional ,
2017    Sequence ,
21-     Tuple ,
22-     Union ,
2318)
2419
2520from  pandas ._typing  import  (
4237
4338
4439def  reconstruct_func (
45-     func : Optional [ AggFuncType ] , ** kwargs 
46- ) ->  Tuple [bool , Optional [ AggFuncType ],  Optional [ List [ str ]],  Optional [ List [ int ]] ]:
40+     func : AggFuncType   |   None , ** kwargs 
41+ ) ->  tuple [bool , AggFuncType   |   None ,  list [ str ]  |   None ,  list [ int ]  |   None ]:
4742    """ 
4843    This is the internal function to reconstruct func given if there is relabeling 
4944    or not and also normalize the keyword to get new order of columns. 
@@ -81,8 +76,8 @@ def reconstruct_func(
8176    (False, 'min', None, None) 
8277    """ 
8378    relabeling  =  func  is  None  and  is_multi_agg_with_relabel (** kwargs )
84-     columns : Optional [ List [ str ]]  =  None 
85-     order : Optional [ List [ int ]]  =  None 
79+     columns : list [ str ]  |   None  =  None 
80+     order : list [ int ]  |   None  =  None 
8681
8782    if  not  relabeling :
8883        if  isinstance (func , list ) and  len (func ) >  len (set (func )):
@@ -129,7 +124,7 @@ def is_multi_agg_with_relabel(**kwargs) -> bool:
129124    )
130125
131126
132- def  normalize_keyword_aggregation (kwargs : dict ) ->  Tuple [dict , List [str ], List [int ]]:
127+ def  normalize_keyword_aggregation (kwargs : dict ) ->  tuple [dict , list [str ], list [int ]]:
133128    """ 
134129    Normalize user-provided "named aggregation" kwargs. 
135130    Transforms from the new ``Mapping[str, NamedAgg]`` style kwargs 
@@ -187,8 +182,8 @@ def normalize_keyword_aggregation(kwargs: dict) -> Tuple[dict, List[str], List[i
187182
188183
189184def  _make_unique_kwarg_list (
190-     seq : Sequence [Tuple [Any , Any ]]
191- ) ->  Sequence [Tuple [Any , Any ]]:
185+     seq : Sequence [tuple [Any , Any ]]
186+ ) ->  Sequence [tuple [Any , Any ]]:
192187    """ 
193188    Uniquify aggfunc name of the pairs in the order list 
194189
@@ -292,10 +287,10 @@ def maybe_mangle_lambdas(agg_spec: Any) -> Any:
292287
293288def  relabel_result (
294289    result : FrameOrSeries ,
295-     func : Dict [str , List [ Union [ Callable ,  str ] ]],
290+     func : dict [str , list [ Callable   |   str ]],
296291    columns : Iterable [Hashable ],
297292    order : Iterable [int ],
298- ) ->  Dict [Hashable , Series ]:
293+ ) ->  dict [Hashable , Series ]:
299294    """ 
300295    Internal function to reorder result if relabelling is True for 
301296    dataframe.agg, and return the reordered result in dict. 
@@ -322,7 +317,7 @@ def relabel_result(
322317    reordered_indexes  =  [
323318        pair [0 ] for  pair  in  sorted (zip (columns , order ), key = lambda  t : t [1 ])
324319    ]
325-     reordered_result_in_dict : Dict [Hashable , Series ] =  {}
320+     reordered_result_in_dict : dict [Hashable , Series ] =  {}
326321    idx  =  0 
327322
328323    reorder_mask  =  not  isinstance (result , ABCSeries ) and  len (result .columns ) >  1 
@@ -366,7 +361,7 @@ def relabel_result(
366361
367362def  validate_func_kwargs (
368363    kwargs : dict ,
369- ) ->  Tuple [ List [str ], List [ Union [ str ,  Callable [..., Any ] ]]]:
364+ ) ->  tuple [ list [str ], list [ str   |   Callable [..., Any ]]]:
370365    """ 
371366    Validates types of user-provided "named aggregation" kwargs. 
372367    `TypeError` is raised if aggfunc is not `str` or callable. 
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