diff --git a/stdlib/_bisect.pyi b/stdlib/_bisect.pyi
index 56b18237d..5608094cc 100644
--- a/stdlib/_bisect.pyi
+++ b/stdlib/_bisect.pyi
@@ -1,12 +1,14 @@
 import sys
-from _typeshed import SupportsRichComparison, SupportsRichComparisonT
+from _typeshed import SupportsRichComparisonT
 from typing import Callable, MutableSequence, Sequence, TypeVar, overload
 
 _T = TypeVar("_T")
 
 if sys.version_info >= (3, 10):
     @overload
-    def bisect_left(a: Sequence[_T], x: _T, lo: int = ..., hi: int | None = ..., *, key: None = ...) -> int: ...
+    def bisect_left(
+        a: Sequence[SupportsRichComparisonT], x: SupportsRichComparisonT, lo: int = ..., hi: int | None = ..., *, key: None = ...
+    ) -> int: ...
     @overload
     def bisect_left(
         a: Sequence[_T],
@@ -17,7 +19,9 @@ if sys.version_info >= (3, 10):
         key: Callable[[_T], SupportsRichComparisonT] = ...,
     ) -> int: ...
     @overload
-    def bisect_right(a: Sequence[_T], x: _T, lo: int = ..., hi: int | None = ..., *, key: None = ...) -> int: ...
+    def bisect_right(
+        a: Sequence[SupportsRichComparisonT], x: SupportsRichComparisonT, lo: int = ..., hi: int | None = ..., *, key: None = ...
+    ) -> int: ...
     @overload
     def bisect_right(
         a: Sequence[_T],
@@ -27,25 +31,43 @@ if sys.version_info >= (3, 10):
         *,
         key: Callable[[_T], SupportsRichComparisonT] = ...,
     ) -> int: ...
+    @overload
     def insort_left(
-        a: MutableSequence[_T],
-        x: _T,
+        a: MutableSequence[SupportsRichComparisonT],
+        x: SupportsRichComparisonT,
         lo: int = ...,
         hi: int | None = ...,
         *,
-        key: Callable[[_T], SupportsRichComparison] | None = ...,
+        key: None = ...,
     ) -> None: ...
+    @overload
+    def insort_left(
+        a: MutableSequence[_T], x: _T, lo: int = ..., hi: int | None = ..., *, key: Callable[[_T], SupportsRichComparisonT] = ...
+    ) -> None: ...
+    @overload
     def insort_right(
-        a: MutableSequence[_T],
-        x: _T,
+        a: MutableSequence[SupportsRichComparisonT],
+        x: SupportsRichComparisonT,
         lo: int = ...,
         hi: int | None = ...,
         *,
-        key: Callable[[_T], SupportsRichComparison] | None = ...,
+        key: None = ...,
+    ) -> None: ...
+    @overload
+    def insort_right(
+        a: MutableSequence[_T], x: _T, lo: int = ..., hi: int | None = ..., *, key: Callable[[_T], SupportsRichComparisonT] = ...
     ) -> None: ...
 
 else:
-    def bisect_left(a: Sequence[_T], x: _T, lo: int = ..., hi: int | None = ...) -> int: ...
-    def bisect_right(a: Sequence[_T], x: _T, lo: int = ..., hi: int | None = ...) -> int: ...
-    def insort_left(a: MutableSequence[_T], x: _T, lo: int = ..., hi: int | None = ...) -> None: ...
-    def insort_right(a: MutableSequence[_T], x: _T, lo: int = ..., hi: int | None = ...) -> None: ...
+    def bisect_left(
+        a: Sequence[SupportsRichComparisonT], x: SupportsRichComparisonT, lo: int = ..., hi: int | None = ...
+    ) -> int: ...
+    def bisect_right(
+        a: Sequence[SupportsRichComparisonT], x: SupportsRichComparisonT, lo: int = ..., hi: int | None = ...
+    ) -> int: ...
+    def insort_left(
+        a: MutableSequence[SupportsRichComparisonT], x: SupportsRichComparisonT, lo: int = ..., hi: int | None = ...
+    ) -> None: ...
+    def insort_right(
+        a: MutableSequence[SupportsRichComparisonT], x: SupportsRichComparisonT, lo: int = ..., hi: int | None = ...
+    ) -> None: ...