diff --git a/src/scanpydoc/elegant_typehints/_formatting.py b/src/scanpydoc/elegant_typehints/_formatting.py
index 4dde8d3..dd1ef66 100644
--- a/src/scanpydoc/elegant_typehints/_formatting.py
+++ b/src/scanpydoc/elegant_typehints/_formatting.py
@@ -3,7 +3,10 @@
 import inspect
 from collections.abc import Callable, Iterable, Mapping, Sequence
 from functools import partial
-from typing import TYPE_CHECKING, Any, Literal, get_args, get_origin
+from types import UnionType
+from typing import TYPE_CHECKING, Any, Literal, Union, get_args, get_origin
+from typing import Callable as t_Callable
+from typing import Mapping as t_Mapping  # noqa: UP035
 
 from docutils import nodes
 from docutils.parsers.rst.roles import set_classes
@@ -45,22 +48,19 @@ def _format_full(annotation: type[Any], config: Config) -> str | None:
 
 
 def _format_terse(annotation: type[Any], config: Config) -> str:
-    from collections.abc import Mapping as t_Mapping
-    from typing import Union
-
     origin = get_origin(annotation)
     args = get_args(annotation)
     tilde = "" if config.typehints_fully_qualified else "~"
     fmt = partial(_format_terse, config=config)
 
     # display `Union[A, B]` as `A | B`
-    if origin is Union:
+    if origin in (Union, UnionType):
         # Never use the `Optional` keyword in the displayed docs.
         # Use `| None` instead, similar to other large numerical packages.
         return " | ".join(map(fmt, args))
 
     # do not show the arguments of Mapping
-    if origin is Mapping or origin is t_Mapping:
+    if origin in (Mapping, t_Mapping):
         return f":py:class:`{tilde}collections.abc.Mapping`"
 
     # display dict as {k: v}
@@ -69,7 +69,7 @@ def _format_terse(annotation: type[Any], config: Config) -> str:
         return f"{{{fmt(k)}: {fmt(v)}}}"
 
     # display Callable[[a1, a2], r] as (a1, a2) -> r
-    if origin is Callable and len(args) == 2:  # noqa: PLR2004
+    if origin in (Callable, t_Callable) and len(args) == 2:  # noqa: PLR2004
         params, ret = args
         params = ["…"] if params is Ellipsis else map(fmt, params)
         return f"({', '.join(params)}) → {fmt(ret)}"
diff --git a/tests/test_elegant_typehints.py b/tests/test_elegant_typehints.py
index e0946e6..c1a9e72 100644
--- a/tests/test_elegant_typehints.py
+++ b/tests/test_elegant_typehints.py
@@ -326,7 +326,7 @@ class B:
         (
             tuple[Mapping[str, float], int],
             r":annotation-terse:`:py:class:\`~collections.abc.Mapping\``\ "
-            r":annotation-full:`:py:class:\`~typing.Mapping\`\["
+            r":annotation-full:`:py:class:\`~collections.abc.Mapping\`\["
             r":py:class:\`str\`, :py:class:\`float\`"
             r"]`",
         ),