diff --git a/include/pybind11/cast.h b/include/pybind11/cast.h
index 0b41f942..8c8de5b8 100644
--- a/include/pybind11/cast.h
+++ b/include/pybind11/cast.h
@@ -758,10 +758,17 @@ template <typename T, typename SFINAE = void> struct is_copy_constructible : std
 // Specialization for types that appear to be copy constructible but also look like stl containers
 // (we specifically check for: has `value_type` and `reference` with `reference = value_type&`): if
 // so, copy constructability depends on whether the value_type is copy constructible.
-template <typename Container> struct is_copy_constructible<Container, enable_if_t<
-        std::is_copy_constructible<Container>::value &&
-        std::is_same<typename Container::value_type &, typename Container::reference>::value
-    >> : std::is_copy_constructible<typename Container::value_type> {};
+template <typename Container> struct is_copy_constructible<Container, enable_if_t<all_of<
+        std::is_copy_constructible<Container>,
+        std::is_same<typename Container::value_type &, typename Container::reference>
+    >::value>> : is_copy_constructible<typename Container::value_type> {};
+
+#if !defined(PYBIND11_CPP17)
+// Likewise for std::pair before C++17 (which mandates that the copy constructor not exist when the
+// two types aren't themselves copy constructible).
+template <typename T1, typename T2> struct is_copy_constructible<std::pair<T1, T2>>
+    : all_of<is_copy_constructible<T1>, is_copy_constructible<T2>> {};
+#endif
 
 /// Generic type caster for objects stored on the heap
 template <typename type> class type_caster_base : public type_caster_generic {
@@ -1460,7 +1467,7 @@ class type_caster<std::unique_ptr<type, deleter>>
     : public move_only_holder_caster<type, std::unique_ptr<type, deleter>> { };
 
 template <typename type, typename holder_type>
-using type_caster_holder = conditional_t<std::is_copy_constructible<holder_type>::value,
+using type_caster_holder = conditional_t<is_copy_constructible<holder_type>::value,
                                          copyable_holder_caster<type, holder_type>,
                                          move_only_holder_caster<type, holder_type>>;
 
@@ -1525,7 +1532,7 @@ template <typename T> using move_is_plain_type = satisfies_none_of<T,
 template <typename T, typename SFINAE = void> struct move_always : std::false_type {};
 template <typename T> struct move_always<T, enable_if_t<all_of<
     move_is_plain_type<T>,
-    negation<std::is_copy_constructible<T>>,
+    negation<is_copy_constructible<T>>,
     std::is_move_constructible<T>,
     std::is_same<decltype(std::declval<make_caster<T>>().operator T&()), T&>
 >::value>> : std::true_type {};
diff --git a/include/pybind11/stl_bind.h b/include/pybind11/stl_bind.h
index 94117472..f16e9d22 100644
--- a/include/pybind11/stl_bind.h
+++ b/include/pybind11/stl_bind.h
@@ -66,10 +66,7 @@ template <typename, typename, typename... Args> void vector_if_insertion_operato
 template <typename, typename, typename... Args> void vector_modifiers(const Args &...) { }
 
 template<typename Vector, typename Class_>
-void vector_if_copy_constructible(enable_if_t<
-    std::is_copy_constructible<Vector>::value &&
-    std::is_copy_constructible<typename Vector::value_type>::value, Class_> &cl) {
-
+void vector_if_copy_constructible(enable_if_t<is_copy_constructible<Vector>::value, Class_> &cl) {
     cl.def(init<const Vector &>(), "Copy constructor");
 }
 
@@ -113,7 +110,7 @@ void vector_if_equal_operator(enable_if_t<is_comparable<Vector>::value, Class_>
 // (Technically, some of these (pop and __delitem__) don't actually require copyability, but it seems
 // silly to allow deletion but not insertion, so include them here too.)
 template <typename Vector, typename Class_>
-void vector_modifiers(enable_if_t<std::is_copy_constructible<typename Vector::value_type>::value, Class_> &cl) {
+void vector_modifiers(enable_if_t<is_copy_constructible<typename Vector::value_type>::value, Class_> &cl) {
     using T = typename Vector::value_type;
     using SizeType = typename Vector::size_type;
     using DiffType = typename Vector::difference_type;
@@ -487,7 +484,7 @@ void map_assignment(enable_if_t<std::is_copy_assignable<typename Map::mapped_typ
 template<typename Map, typename Class_>
 void map_assignment(enable_if_t<
         !std::is_copy_assignable<typename Map::mapped_type>::value &&
-        std::is_copy_constructible<typename Map::mapped_type>::value,
+        is_copy_constructible<typename Map::mapped_type>::value,
         Class_> &cl) {
     using KeyType = typename Map::key_type;
     using MappedType = typename Map::mapped_type;