diff --git a/libcxx/include/__algorithm/equal_range.h b/libcxx/include/__algorithm/equal_range.h
--- a/libcxx/include/__algorithm/equal_range.h
+++ b/libcxx/include/__algorithm/equal_range.h
@@ -50,7 +50,7 @@
     } else {
       _Iter __mp1 = __mid;
       return pair<_Iter, _Iter>(
-          std::__lower_bound_impl<_AlgPolicy>(__first, __mid, __value, __comp, __proj),
+          std::__lower_bound<_AlgPolicy>(__first, __mid, __value, __comp, __proj),
           std::__upper_bound<_AlgPolicy>(++__mp1, __end, __value, __comp, __proj));
     }
   }
diff --git a/libcxx/include/__algorithm/lower_bound.h b/libcxx/include/__algorithm/lower_bound.h
--- a/libcxx/include/__algorithm/lower_bound.h
+++ b/libcxx/include/__algorithm/lower_bound.h
@@ -29,7 +29,7 @@
 
 template <class _AlgPolicy, class _Iter, class _Sent, class _Type, class _Proj, class _Comp>
 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20
-_Iter __lower_bound_impl(_Iter __first, _Sent __last, const _Type& __value, _Comp& __comp, _Proj& __proj) {
+_Iter __lower_bound(_Iter __first, _Sent __last, const _Type& __value, _Comp& __comp, _Proj& __proj) {
   auto __len = _IterOps<_AlgPolicy>::distance(__first, __last);
 
   while (__len != 0) {
@@ -52,7 +52,7 @@
   static_assert(__is_callable<_Compare, decltype(*__first), const _Tp&>::value,
                 "The comparator has to be callable");
   auto __proj = std::__identity();
-  return std::__lower_bound_impl<_ClassicAlgPolicy>(__first, __last, __value, __comp, __proj);
+  return std::__lower_bound<_ClassicAlgPolicy>(__first, __last, __value, __comp, __proj);
 }
 
 template <class _ForwardIterator, class _Tp>
diff --git a/libcxx/include/__algorithm/ranges_binary_search.h b/libcxx/include/__algorithm/ranges_binary_search.h
--- a/libcxx/include/__algorithm/ranges_binary_search.h
+++ b/libcxx/include/__algorithm/ranges_binary_search.h
@@ -35,7 +35,7 @@
             indirect_strict_weak_order<const _Type*, projected<_Iter, _Proj>> _Comp = ranges::less>
   _LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI constexpr
   bool operator()(_Iter __first, _Sent __last, const _Type& __value, _Comp __comp = {}, _Proj __proj = {}) const {
-    auto __ret = std::__lower_bound_impl<_RangeAlgPolicy>(__first, __last, __value, __comp, __proj);
+    auto __ret = std::__lower_bound<_RangeAlgPolicy>(__first, __last, __value, __comp, __proj);
     return __ret != __last && !std::invoke(__comp, __value, std::invoke(__proj, *__ret));
   }
 
@@ -45,7 +45,7 @@
   bool operator()(_Range&& __r, const _Type& __value, _Comp __comp = {}, _Proj __proj = {}) const {
     auto __first = ranges::begin(__r);
     auto __last = ranges::end(__r);
-    auto __ret = std::__lower_bound_impl<_RangeAlgPolicy>(__first, __last, __value, __comp, __proj);
+    auto __ret = std::__lower_bound<_RangeAlgPolicy>(__first, __last, __value, __comp, __proj);
     return __ret != __last && !std::invoke(__comp, __value, std::invoke(__proj, *__ret));
   }
 };
diff --git a/libcxx/include/__algorithm/ranges_lower_bound.h b/libcxx/include/__algorithm/ranges_lower_bound.h
--- a/libcxx/include/__algorithm/ranges_lower_bound.h
+++ b/libcxx/include/__algorithm/ranges_lower_bound.h
@@ -39,7 +39,7 @@
             indirect_strict_weak_order<const _Type*, projected<_Iter, _Proj>> _Comp = ranges::less>
   _LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI constexpr
   _Iter operator()(_Iter __first, _Sent __last, const _Type& __value, _Comp __comp = {}, _Proj __proj = {}) const {
-    return std::__lower_bound_impl<_RangeAlgPolicy>(__first, __last, __value, __comp, __proj);
+    return std::__lower_bound<_RangeAlgPolicy>(__first, __last, __value, __comp, __proj);
   }
 
   template <forward_range _Range, class _Type, class _Proj = identity,
@@ -49,7 +49,7 @@
                                          const _Type& __value,
                                          _Comp __comp = {},
                                          _Proj __proj = {}) const {
-    return std::__lower_bound_impl<_RangeAlgPolicy>(ranges::begin(__r), ranges::end(__r), __value, __comp, __proj);
+    return std::__lower_bound<_RangeAlgPolicy>(ranges::begin(__r), ranges::end(__r), __value, __comp, __proj);
   }
 };
 } // namespace __lower_bound
diff --git a/libcxx/include/__algorithm/ranges_upper_bound.h b/libcxx/include/__algorithm/ranges_upper_bound.h
--- a/libcxx/include/__algorithm/ranges_upper_bound.h
+++ b/libcxx/include/__algorithm/ranges_upper_bound.h
@@ -40,7 +40,7 @@
       return !std::invoke(__comp, __rhs, __lhs);
     };
 
-    return std::__lower_bound_impl<_RangeAlgPolicy>(__first, __last, __value, __comp_lhs_rhs_swapped, __proj);
+    return std::__lower_bound<_RangeAlgPolicy>(__first, __last, __value, __comp_lhs_rhs_swapped, __proj);
   }
 
   template <forward_range _Range, class _Type, class _Proj = identity,
@@ -54,11 +54,11 @@
       return !std::invoke(__comp, __rhs, __lhs);
     };
 
-    return std::__lower_bound_impl<_RangeAlgPolicy>(ranges::begin(__r),
-                                                   ranges::end(__r),
-                                                   __value,
-                                                   __comp_lhs_rhs_swapped,
-                                                   __proj);
+    return std::__lower_bound<_RangeAlgPolicy>(ranges::begin(__r),
+                                               ranges::end(__r),
+                                               __value,
+                                               __comp_lhs_rhs_swapped,
+                                               __proj);
   }
 };
 } // namespace __upper_bound