[3.13] gh-90190: Add doc for using singledispatch with precise collection type hints (GH-116544)

Doc/library/functools.rst

@@ -492,6 +492,25 @@ The :mod:`functools` module defines the following functions:
  ... print(arg.real, arg.imag)
  ...
 
+ For code that dispatches on a collections type (e.g., ``list``), but wants
+ to typehint the items of the collection (e.g., ``list[int]``), the
+ dispatch type should be passed explicitly to the decorator itself with the
+ typehint going into the function definition::
+
+ >>> @fun.register(list)
+ ... def _(arg: list[int], verbose=False):
+ ... if verbose:
+ ... print("Enumerate this:")
+ ... for i, elem in enumerate(arg):
+ ... print(i, elem)
+
+ .. note::
+
+ At runtime the function will dispatch on an instance of a list regardless
+ of the type contained within the list i.e. ``[1,2,3]`` will be
+ dispatched the same as ``["foo", "bar", "baz"]``. The annotation
+ provided in this example is for static type checkers only and has no
+ runtime impact.
 
  To enable registering :term:`lambdas<lambda>` and pre-existing functions,
  the :func:`register` attribute can also be used in a functional form::