(🐞) `overload`s that exhaust finite `Literal`s(`bool`/`Enum`) not treated as exhaustive

[KotlinIsland]

@overload
def foo(a: Literal[True]) -> int: ...

@overload
def foo(a: Literal[False]) -> str: ...

def foo(a: bool) -> object: ...

a: bool
reveal_type(foo(a))  # error: No overload variant of "foo" matches argument type "bool"

@overload
def foo(a: Literal[True]) -> int: ...

@overload
def foo(a: Literal[False]) -> str: ...

@overload
def foo(a: bool) -> object: ...  # no error regarding impossible to match overload

a: bool
reveal_type(foo(a))  # object

@overload
def foo(a: Literal[True, False]) -> int | str: ...

@overload
def foo(a: bool) -> object: ...  # error: Overloaded function signature 2 will never be matched: signature 1's parameter type(s) are the same or broader

def foo(a: bool) -> object: ...

a: bool
reveal_type(foo(a))  # int | str

Here mypy incorrectly forces us to implement a completely redundant overload for the non Literal case when it is already exhaustively covered by both literals. It is only when the literals are in the same overload (useless in practice, but just for demonstration) that mypy correctly handles this case.

Mypy should be doing 'union math' (or what ever it's called) to apply both literal overloads at once.

This also affects all other exhaustible Literals such as Enums.

This example is pulled directly from the docs, so I think they should be updated as well to an example that doesn't contain this confusing defect.

[Zeckie]

Is this issue really specific to bool, or does it also occur with enums and unions?

[yehoshuaviles]

You are correct that in this example, mypy is not able to correctly handle the case where the argument a is a boolean value and not a Literal. This is because the Literal types in the overloads are not being unioned with the bool type in the function definition.

To address this issue, you can modify the function definition to include a union type that includes all possible values of a:

from typing import Literal, overload, Union

@overload
def foo(a: Literal[True]) -> int: ...

@overload
def foo(a: Literal[False]) -> str: ...

def foo(a: Union[bool, Literal[True], Literal[False]]) -> Union[int, str]:
    if a is True:
        return 42
    else:
        return "Hello, world!"

a: bool
reveal_type(foo(a))  # This now correctly shows Union[int, str]

In this version, we have modified the foo function definition to include a union type that includes all possible values of a. We have also modified the return type to be a union of the possible return types from the two overload functions.

Now, mypy is able to correctly handle the case where a is a boolean value and not a Literal.

[KotlinIsland]

Is this issue really specific to bool, or does it also occur with enums and unions?

It works correctly with unions, but not other exhaustible Literals like Enums.

from typing import *
from enum import Enum

class A(Enum):
    a = 1

@overload
def foo(a: Literal[A.a]) -> int: ...

@overload
def foo(a: A) -> object: ...  # no error

def foo(a: object) -> object: ...

a: A
reveal_type(foo(a))  # object

[KotlinIsland]

topic-overloads & topic-literal-types ?

[mimre25]

I also stumbled upon this. There is also a problem with type inference or so:

@overload
def test_overload(is_fun: Literal[True]) -> str:
    ...

@overload
def test_overload(is_fun: Literal[False]) -> int:
    ...
    
def test_overload(is_fun: bool = True) -> str | int:
    return "1" if is_fun else 1

this yields no error, but as soon as we use test_overload, we will get an error:

def foo(bar: bool = True) -> str | int:
   return test_overload(bar) 

####
t.py:76: error: Returning Any from function declared to return "Union[str, int]"  [no-any-return]
t.py:76: error: No overload variant of "test_overload" matches argument type "bool"  [call-overload]
t.py:76: note: Possible overload variants:
t.py:76: note:     def test_overload(is_fun: Literal[True]) -> str
t.py:76: note:     def test_overload(is_fun: Literal[False]) -> int
Found 2 errors in 1 file (checked 1 source file)            

What could go wrong here? The only way to get out of this situation is to add an overload that access bool and returns the union a la:

@overload
def test_overload(is_fun: bool) -> str | int:
    ...

[gandhis1]

I might not be following entirely. Isn't this correct behavior? There are two cases to be handled for all non-literal types - the value is known statically, and the value is not known statically. Covering the two literal cases with overloads could only ever be used for the former, and not for the latter. The bool case is necessary for when the value is not known.

If instead of taking a bool, you accepted a Literal[True, False], that should work, because you are properly communicating that all callers must be using a variable that can be statically narrowed to a specific value (or an actual literal).

[KotlinIsland]

@gandhis1 That's not how finite types work, and Literal types are not 'literal', they are value/singleton inhabitant types. The type bool is exactly the same as the type True | False in the same way that a union of all derived types within a sealed hierarchy is the same type as the root of that hierarchy.

[penguinolog]

Looks like the same issue in pyright, but for them it's regression now: microsoft/pyright#5421