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TypeForm[T]: Spelling for regular types (int, str) & special forms (Union[int, str], Literal['foo'], etc) #9773

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Description

@davidfstr
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(An earlier version of this post used TypeAnnotation rather than TypeForm as the initially proposed spelling for the concept described here)

Feature

A new special form TypeForm[T] which is conceptually similar to Type[T] but is inhabited by not only regular types like int and str, but also by anything "typelike" that can be used in the position of a type annotation at runtime, including special forms like Union[int, str], Literal['foo'], List[int], MyTypedDict, etc.

Pitch

Being able to represent something like TypeForm[T] enables writing type signatures for new kinds of functions that can operate on arbitrary type annotation objects at runtime. For example:

# Returns `value` if it conforms to the specified type annotation using typechecker subtyping rules.
def trycast(typelike: TypeForm[T], value: object) -> Optional[T]: ...

# Returns whether the specified value can be assigned to a variable with the specified type annotation using typechecker subtyping rules.
def isassignable(value: object, typelike: TypeForm[T]) -> bool: ...

Several people have indicated interest in a way to spell this concept:

For a more in-depth motivational example showing how I can use something like TypeForm[T] to greatly simplify parsing JSON objects received by Python web applications, see my recent thread on typing-sig:

If there is interest from the core mypy developers, I'm willing to do the related specification and implementation work in mypy.

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