Add text about Type[C].

pep-0484.txt

@@ -861,6 +861,101 @@ allow all operations on it, and a value of type ``Any`` can be assigned
 to a variable (or used as a return value) of a more constrained type.
 
 
+The type of class objects
+-------------------------
+
+Sometimes you want to talk about class objects, in particular class
+objects that inherit from a given class.  This can be spelled as
+``Type[C]`` where ``C`` is a class.  To clarify: while ``C`` (when
+used as an annotation) refers to instances of class ``C``, ``Type[C]``
+refers to *subclasses* of ``C``.  (This is a similar distinction as
+between ``object`` and ``type``.)
+
+For example, suppose we have the following classes::
+
+  class User: ...  # Abstract base for User classes
+  class BasicUser(User): ...
+  class ProUser(User): ...
+  class TeamUser(User): ...
+
+And suppose we have a function that creates an instance of one of
+these classes if you pass it a class object::
+
+  def new_user(user_class):
+      user = user_class()
+      # (Here we could write the user object to a database)
+      return user
+
+Without ``Type[]`` the best we could do to annotate ``new_user()``
+would be::
+
+  def new_user(user_class: type) -> User:
+      ...
+
+However using ``Type[]`` and a type variable with an upper bound we
+can do much better::
+
+  U = TypeVar('U', bound=User)
+  def new_user(user_class: Type[U]) -> U:
+      ...
+
+Now when we call ``new_user()`` with a specific subclass of ``User`` a
+type checker will infer the correct type of the result::
+
+  joe = new_user(BasicUser)  # Inferred type is BasicUser
+
+The value corresponding to ``Type[C]`` must be an actual class object
+that's a subtype of ``C``, not a special form.  IOW, in the above
+example calling e.g. ``new_user(Union[BasicUser, ProUser])`` is
+rejected by the type checker (in addition to failing at runtime
+because you can't instantiate a union).
+
+Note that it is legal to use a union of classes as the parameter for
+``Type[]``, as in::
+
+  def new_non_team_user(user_class: Type[Union[BasicUser, ProUser]]):
+      ...
+
+However the actual argument passed in at runtime must still be a
+concrete class object, e.g. in the above example::
+
+  new_non_team_user(ProUser)  # OK
+  new_non_team_user(TeamUser)  # Disallowed by type checker
+
+``Type[Any]`` is also supported (see below for its meaning).  However,
+other special constructs like ``Tuple`` or ``Callable`` are not
+allowed.
+
+There are some concerns with this feature: for example when
+``new_user()`` calls ``user_class()`` this implies that all subclasses
+of ``User`` must support this in their constructor signature.  However
+this is not unique to ``Type[]``: class methods have similar concerns.
+A type checker ought to flag violations of such assumptions, but by
+default constructor calls that match the constructor signature in the
+indicated base class (``User`` in the example above) should be
+allowed.  A program containing a complex or extensible class hierarchy
+might also handle this by using a factory class method.  A future
+revision of this PEP may introduce better ways of dealing with these
+concerns.
+
+When ``Type`` is parameterized it requires exactly one parameter.
+Plain ``Type`` without brackets is equivalent to ``Type[Any]`` and
+this in turn is equivalent to ``type`` (the root of Python's metaclass
+hierarchy).  This equivalence also motivates the name, ``Type``, as
+opposed to alternatives like ``Class`` or ``SubType``, which were
+proposed while this feature was under discussion; this is similar to
+the relationship between e.g. ``List`` and ``list``.
+
+Regarding the behavior of ``Type[Any]`` (or ``Type`` or ``type``),
+accessing attributes of a variable with this type only provides
+attributes and methods defined by ``type`` (for example,
+``__repr__()`` and ``__mro__``).  Such a variable can be called with
+arbitrary arguments, and the return type is ``Any``.
+
+``Type[T]`` should be considered covariant, since for a concrete class
+``C``, ``Type[C]`` matches ``C`` and any of its subclasses.
+
+
 Version and platform checking
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