diff --git a/docs/subprocesses.rst b/docs/subprocesses.rst
index e0f510e5..e228fd4f 100644
--- a/docs/subprocesses.rst
+++ b/docs/subprocesses.rst
@@ -86,7 +86,7 @@ This is done by using :func:`.to_process.run_sync`::
         result = await to_process.run_sync(cpu_intensive_function, 'Hello, ', 'world!')
         print(result)
 
-    # This check is important when the application uses run_sync_in_process()
+    # This check is important when the application uses to_process.run_sync()
     if __name__ == '__main__':
         run(main)
 
diff --git a/src/anyio/_core/_exceptions.py b/src/anyio/_core/_exceptions.py
index 6e3f8ccc..97ea3130 100644
--- a/src/anyio/_core/_exceptions.py
+++ b/src/anyio/_core/_exceptions.py
@@ -16,7 +16,7 @@ class BrokenResourceError(Exception):
 
 class BrokenWorkerProcess(Exception):
     """
-    Raised by :func:`run_sync_in_process` if the worker process terminates abruptly or
+    Raised by :meth:`~anyio.to_process.run_sync` if the worker process terminates abruptly or
     otherwise misbehaves.
     """