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diff --git a/libcxx/include/__algorithm/ranges_lexicographical_compare.h b/libcxx/include/__algorithm/ranges_lexicographical_compare.h
new file mode 100644
index 000000000000..fe709f7a7f70
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+++ b/libcxx/include/__algorithm/ranges_lexicographical_compare.h
@@ -0,0 +1,98 @@
+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___ALGORITHM_RANGES_LEXICOGRAPHICAL_COMPARE_H
+#define _LIBCPP___ALGORITHM_RANGES_LEXICOGRAPHICAL_COMPARE_H
+
+#include <__config>
+#include <__functional/identity.h>
+#include <__functional/invoke.h>
+#include <__functional/ranges_operations.h>
+#include <__iterator/concepts.h>
+#include <__iterator/projected.h>
+#include <__ranges/access.h>
+#include <__ranges/concepts.h>
+#include <__utility/move.h>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+#if _LIBCPP_STD_VER > 17 && !defined(_LIBCPP_HAS_NO_INCOMPLETE_RANGES)
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace ranges {
+namespace __lexicographical_compare {
+struct __fn {
+
+  template <class _Iter1, class _Sent1, class _Iter2, class _Sent2, class _Proj1, class _Proj2, class _Comp>
+  _LIBCPP_HIDE_FROM_ABI constexpr static
+  bool __lexicographical_compare_impl(_Iter1 __first1, _Sent1 __last1,
+                                      _Iter2 __first2, _Sent2 __last2,
+                                      _Comp& __comp,
+                                      _Proj1& __proj1,
+                                      _Proj2& __proj2) {
+    while (__first2 != __last2) {
+      if (__first1 == __last1
+       || std::invoke(__comp, std::invoke(__proj1, *__first1), std::invoke(__proj2, *__first2)))
+        return true;
+      if (std::invoke(__comp, std::invoke(__proj2, *__first2), std::invoke(__proj1, *__first1)))
+        return false;
+      ++__first1;
+      ++__first2;
+    }
+    return false;
+  }
+
+  template <input_iterator _Iter1, sentinel_for<_Iter1> _Sent1,
+            input_iterator _Iter2, sentinel_for<_Iter2> _Sent2,
+            class _Proj1 = identity,
+            class _Proj2 = identity,
+            indirect_strict_weak_order<projected<_Iter1, _Proj1>, projected<_Iter2, _Proj2>> _Comp = ranges::less>
+  _LIBCPP_HIDE_FROM_ABI constexpr
+  bool operator()(_Iter1 __first1, _Sent1 __last1,
+                  _Iter2 __first2, _Sent2 __last2,
+                  _Comp __comp = {},
+                  _Proj1 __proj1 = {},
+                  _Proj2 __proj2 = {}) const {
+    return __lexicographical_compare_impl(std::move(__first1), std::move(__last1),
+                                          std::move(__first2), std::move(__last2),
+                                          __comp,
+                                          __proj1,
+                                          __proj2);
+  }
+
+  template <input_range _Range1,
+            input_range _Range2,
+            class _Proj1 = identity,
+            class _Proj2 = identity,
+            indirect_strict_weak_order<projected<iterator_t<_Range1>, _Proj1>,
+                                       projected<iterator_t<_Range2>, _Proj2>> _Comp = ranges::less>
+  _LIBCPP_HIDE_FROM_ABI constexpr
+  bool operator()(_Range1&& __range1, _Range2&& __range2, _Comp __comp = {}, _Proj1 __proj1 = {}, _Proj2 __proj2 = {}) const {
+    return __lexicographical_compare_impl(ranges::begin(__range1), ranges::end(__range1),
+                                          ranges::begin(__range2), ranges::end(__range2),
+                                          __comp,
+                                          __proj1,
+                                          __proj2);
+  }
+
+};
+} // namespace __lexicographical_compare
+
+inline namespace __cpo {
+  inline constexpr auto lexicographical_compare = __lexicographical_compare::__fn{};
+} // namespace __cpo
+} // namespace ranges
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP_STD_VER > 17 && !defined(_LIBCPP_HAS_NO_INCOMPLETE_RANGES)
+
+#endif // _LIBCPP___ALGORITHM_RANGES_LEXICOGRAPHICAL_COMPARE_H