diff --git a/libcxx/include/iterator b/libcxx/include/iterator
--- a/libcxx/include/iterator
+++ b/libcxx/include/iterator
@@ -15,7 +15,8 @@
 
 namespace std
 {
-template<class> struct incrementable_traits; // since C++20
+template<class> struct incrementable_traits;       // since C++20
+template<class> struct indirectly_readable_traits; // since C++20
 
 template<class Iterator>
 struct iterator_traits
@@ -468,6 +469,54 @@
 };
 
 // TODO(cjdb): add iter_difference_t once iterator_traits is cleaned up.
+
+// [readable.traits]
+template<class> struct indirectly_readable_traits {};
+
+template<class _Ip>
+requires is_array_v<_Ip>
+struct indirectly_readable_traits<_Ip> {
+  using value_type = remove_cv_t<remove_extent_t<_Ip>>;
+};
+
+template<class _Ip>
+struct indirectly_readable_traits<const _Ip> : indirectly_readable_traits<_Ip> {};
+
+template<class> struct __cond_value_type {};
+
+template<class _Tp>
+requires is_object_v<_Tp>
+struct __cond_value_type<_Tp> { using value_type = remove_cv_t<_Tp>; };
+
+template<class _Tp>
+struct indirectly_readable_traits<_Tp*> : __cond_value_type<_Tp> {};
+
+template<class _Tp>
+concept __has_member_value_type = requires { typename _Tp::value_type; };
+
+template<__has_member_value_type _Tp>
+struct indirectly_readable_traits<_Tp>
+  : __cond_value_type<typename _Tp::value_type> {};
+
+template<class _Tp>
+concept __has_member_element_type = requires { typename _Tp::element_type; };
+
+template<__has_member_element_type _Tp>
+struct indirectly_readable_traits<_Tp>
+  : __cond_value_type<typename _Tp::element_type> {};
+
+template<class _Tp>
+concept __has_members_value_type_and_element_type =
+  __has_member_value_type<_Tp> &&
+  __has_member_element_type<_Tp> &&
+  same_as<remove_cv_t<typename _Tp::element_type>,
+          remove_cv_t<typename _Tp::value_type>>;
+
+template<__has_members_value_type_and_element_type _Tp>
+struct indirectly_readable_traits<_Tp>
+  : __cond_value_type<typename _Tp::value_type> {};
+
+// TODO(cjdb): add iter_value_t once iterator_traits is cleaned up.
 #endif // _LIBCPP_STD_VER > 17
 
 template <class _Iter>
diff --git a/libcxx/test/std/iterators/iterator.requirements/iterator.assoc.types/readable.traits/indirectly_readable_traits.pass.cpp b/libcxx/test/std/iterators/iterator.requirements/iterator.assoc.types/readable.traits/indirectly_readable_traits.pass.cpp
new file mode 100644
--- /dev/null
+++ b/libcxx/test/std/iterators/iterator.requirements/iterator.assoc.types/readable.traits/indirectly_readable_traits.pass.cpp
@@ -0,0 +1,150 @@
+//===----------------------------------------------------------------------===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+
+// UNSUPPORTED: c++03, c++11, c++14, c++17
+// UNSUPPORTED: libcpp-no-concepts
+
+// template<class T>
+// struct indirectly_readable_traits;
+
+#include <iterator>
+
+#include <concepts>
+#include <memory>
+#include <optional>
+#include <vector>
+
+template <class T>
+concept check_has_value_type = requires {
+  typename std::indirectly_readable_traits<T>::value_type;
+};
+
+template <class T, class Expected>
+concept check_value_type_matches = check_has_value_type<T>&& std::same_as<
+    typename std::indirectly_readable_traits<T>::value_type, Expected>;
+
+template <class T>
+constexpr bool check_pointer() {
+  constexpr bool result = check_value_type_matches<T*, T>;
+  static_assert(check_value_type_matches<T const*, T> == result);
+  static_assert(check_value_type_matches<T volatile*, T> == result);
+  static_assert(check_value_type_matches<T const volatile*, T> == result);
+
+  static_assert(check_value_type_matches<T* const, T> == result);
+  static_assert(check_value_type_matches<T const* const, T> == result);
+  static_assert(check_value_type_matches<T volatile* const, T> == result);
+  static_assert(check_value_type_matches<T const volatile* const, T> == result);
+
+  return result;
+}
+
+static_assert(!check_pointer<void>());
+static_assert(check_pointer<int>());
+static_assert(check_pointer<long>());
+static_assert(check_pointer<double>());
+static_assert(check_pointer<double*>());
+
+struct S {};
+static_assert(check_pointer<S>());
+
+template <typename T>
+constexpr bool check_array() {
+  constexpr bool result = check_value_type_matches<T[], T>;
+  static_assert(check_value_type_matches<T const[], T> == result);
+  static_assert(check_value_type_matches<T volatile[], T> == result);
+  static_assert(check_value_type_matches<T const volatile[], T> == result);
+  static_assert(check_value_type_matches<T[10], T> == result);
+  static_assert(check_value_type_matches<T const[10], T> == result);
+  static_assert(check_value_type_matches<T volatile[10], T> == result);
+  static_assert(check_value_type_matches<T const volatile[10], T> == result);
+  return result;
+}
+
+static_assert(check_array<int>());
+static_assert(check_array<long>());
+static_assert(check_array<double>());
+static_assert(check_array<double*>());
+static_assert(check_array<S>());
+
+template <typename T, typename Expected>
+constexpr bool check_explicit_member() {
+  constexpr bool result = check_value_type_matches<T, Expected>;
+  return result == check_value_type_matches<T const, Expected>;
+}
+
+struct has_value_type {
+  using value_type = int;
+};
+static_assert(check_explicit_member<has_value_type, int>());
+static_assert(check_explicit_member<std::vector<int>::iterator, int>());
+
+struct has_element_type {
+  using element_type = S;
+};
+static_assert(check_explicit_member<has_element_type, S>());
+
+struct has_same_value_and_element_type {
+  using value_type = int;
+  using element_type = int;
+};
+static_assert(check_explicit_member<has_same_value_and_element_type, int>());
+static_assert(check_explicit_member<std::shared_ptr<long>, long>());
+static_assert(check_explicit_member<std::shared_ptr<long const>, long>());
+
+struct S2 {};
+namespace std {
+template <>
+struct indirectly_readable_traits<S2> {
+  using value_type = int;
+};
+} // namespace std
+static_assert(check_value_type_matches<S2, int>);
+static_assert(check_value_type_matches<std::vector<int>, int>);
+static_assert(check_value_type_matches<std::optional<int>, int>);
+
+template <typename T>
+constexpr bool check_ref() {
+  struct ref_value {
+    using value_type = T&;
+  };
+  constexpr bool result = check_has_value_type<ref_value>;
+
+  struct ref_element {
+    using element_type = T&;
+  };
+  static_assert(check_has_value_type<ref_element> == result);
+
+  return result;
+}
+
+static_assert(!check_ref<int>());
+static_assert(!check_ref<S>());
+static_assert(!check_ref<std::shared_ptr<long> >());
+
+static_assert(!check_has_value_type<void>);
+static_assert(!check_has_value_type<std::nullptr_t>);
+static_assert(!check_has_value_type<int>);
+static_assert(!check_has_value_type<S>);
+
+struct has_different_value_and_element_type {
+  using value_type = int;
+  using element_type = long;
+};
+static_assert(!check_has_value_type<has_different_value_and_element_type>);
+
+struct void_value {
+  using value_type = void;
+};
+static_assert(!check_has_value_type<void_value>);
+
+struct void_element {
+  using element_type = void;
+};
+static_assert(!check_has_value_type<void_element>);
+
+int main(int, char**) { return 0; }