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# Python TypeVarTuple

`typing.TypeVarTuple` is a type variable construct introduced in Python 3.11 (PEP 646) that enables variadic generics. Unlike a standard `TypeVar`, which binds to a single type, a `TypeVarTuple` binds to an arbitrary number of types, effectively representing a tuple of types. This allows static type checkers to capture, preserve, and validate the exact sequence and arity of types passed to a generic class or function.

## Instantiation and Unpacking

A `TypeVarTuple` is instantiated similarly to a standard `TypeVar`, taking a string matching the variable name.

```python theme={"dark"}
from typing import TypeVarTuple

Ts = TypeVarTuple('Ts')
```

When applied within type hints, a `TypeVarTuple` must be unpacked to indicate to the type checker that the variable represents a sequence of types rather than a single type. This is achieved using either the `*` (star) operator or `typing.Unpack`, depending on syntactic validity.

Within type brackets (such as `Generic` or `Tuple`), the `*` operator is used:

```python theme={"dark"}
from typing import Generic, TypeVarTuple

Ts = TypeVarTuple('Ts')

class VariadicContainer(Generic[*Ts]):
    pass


# Instantiation:

# VariadicContainer[int, str, bool]

# Here, *Ts binds to the type sequence (int, str, bool)
```

## Combining with Standard Type Variables

A `TypeVarTuple` can be combined with standard `TypeVar` instances within a `Generic` parameter list. The type checker resolves the bindings positionally.

```python theme={"dark"}
from typing import TypeVar, TypeVarTuple, Generic

T = TypeVar('T')
Ts = TypeVarTuple('Ts')

class MixedContainer(Generic[T, *Ts]):
    pass


# In MixedContainer[int, float, str]:

# T binds to `int`

# *Ts binds to `(float, str)`
```

## Application in Signatures

`TypeVarTuple` is heavily utilized in function signatures to type-check variadic positional arguments and to maintain type parity between inputs and outputs.

### With `Tuple`

When unpacked inside a `Tuple`, it defines a tuple with a specific, yet generic, sequence of types. Because `TypeVarTuple` preserves the exact order of types, it can be used to safely type operations like appending to a tuple.

```python theme={"dark"}
from typing import Tuple, TypeVarTuple

Ts = TypeVarTuple('Ts')

def append_item(data: Tuple[*Ts], item: int) -> Tuple[*Ts, int]:
    ...
```

### With `Callable` and `Unpack`

When specifying that a `Callable` accepts an arbitrary sequence of arguments, the `*` operator is used inside the callable's argument list.

However, when annotating the actual variadic positional arguments (`*args`) in the function signature, using the `*` operator (e.g., `*args: *Ts`) raises a `SyntaxError` because `*` cannot be used as a standalone type annotation expression. In this context, `typing.Unpack` is mandatory.

```python theme={"dark"}
from typing import Callable, TypeVarTuple, Unpack

Ts = TypeVarTuple('Ts')

def invoke_with_args(func: Callable[[*Ts], None], *args: Unpack[Ts]) -> None:
    ...
```

*Note: `Unpack` is also required when using `TypeVarTuple` in older Python versions via `typing_extensions`, as the `*` operator inside type brackets is only valid syntax in Python 3.11+.*

## Structural Rules and Limitations

1. **Single Instance Limit:** A generic class or function signature can contain at most one `TypeVarTuple`. Constructs like `Generic[*Ts1, *Ts2]` are invalid because the type checker cannot unambiguously resolve the boundary between the two variadic sequences.
2. **No Bounds or Constraints:** Unlike `TypeVar`, `TypeVarTuple` does not currently support upper bounds (`bound=...`) or type constraints (`TypeVar('T', int, str)`). It strictly accepts any sequence of types.
3. **Mandatory Unpacking:** With very few exceptions (such as type aliases in specific contexts), a `TypeVarTuple` must always be unpacked using either the `*` operator or `typing.Unpack` when used in a type expression.
4. **Empty Binding:** A `TypeVarTuple` can bind to zero types. For example, `VariadicContainer[()]` results in `*Ts` binding to an empty sequence.

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