diff --git a/doc/html/mp11.html b/doc/html/mp11.html
index a6e817b..db32cd8 100644
--- a/doc/html/mp11.html
+++ b/doc/html/mp11.html
@@ -68,6 +68,8 @@
 <dt><span class="section"><a href="mp11.html#mp11.reference.list.mp_push_back_l_t"><code class="computeroutput"><span class="identifier">mp_push_back</span><span class="special">&lt;</span><span class="identifier">L</span><span class="special">,</span> <span class="identifier">T</span><span class="special">...&gt;</span></code></a></span></dt>
 <dt><span class="section"><a href="mp11.html#mp11.reference.list.mp_rename_l_y"><code class="computeroutput"><span class="identifier">mp_rename</span><span class="special">&lt;</span><span class="identifier">L</span><span class="special">,</span>
         <span class="identifier">Y</span><span class="special">&gt;</span></code></a></span></dt>
+<dt><span class="section"><a href="mp11.html#mp11.reference.list.mp_apply_f_l"><code class="computeroutput"><span class="identifier">mp_apply</span><span class="special">&lt;</span><span class="identifier">F</span><span class="special">,</span>
+        <span class="identifier">L</span><span class="special">&gt;</span></code></a></span></dt>
 <dt><span class="section"><a href="mp11.html#mp11.reference.list.mp_append_l"><code class="computeroutput"><span class="identifier">mp_append</span><span class="special">&lt;</span><span class="identifier">L</span><span class="special">...&gt;</span></code></a></span></dt>
 <dt><span class="section"><a href="mp11.html#mp11.reference.list.mp_replace_front_l_t"><code class="computeroutput"><span class="identifier">mp_replace_front</span><span class="special">&lt;</span><span class="identifier">L</span><span class="special">,</span> <span class="identifier">T</span><span class="special">&gt;</span></code></a></span></dt>
 <dt><span class="section"><a href="mp11.html#mp11.reference.list.mp_replace_first_l_t"><code class="computeroutput"><span class="identifier">mp_replace_first</span><span class="special">&lt;</span><span class="identifier">L</span><span class="special">,</span> <span class="identifier">T</span><span class="special">&gt;</span></code></a></span></dt>
@@ -699,6 +701,21 @@
 </div>
 <div class="section">
 <div class="titlepage"><div><div><h4 class="title">
+<a name="mp11.reference.list.mp_apply_f_l"></a><a class="link" href="mp11.html#mp11.reference.list.mp_apply_f_l" title="mp_apply&lt;F, L&gt;"><code class="computeroutput"><span class="identifier">mp_apply</span><span class="special">&lt;</span><span class="identifier">F</span><span class="special">,</span>
+        <span class="identifier">L</span><span class="special">&gt;</span></code></a>
+</h4></div></div></div>
+<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span><span class="special">...&gt;</span> <span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">L</span><span class="special">&gt;</span> <span class="keyword">using</span> <span class="identifier">mp_apply</span> <span class="special">=</span> <span class="identifier">mp_rename</span><span class="special">&lt;</span><span class="identifier">L</span><span class="special">,</span> <span class="identifier">F</span><span class="special">&gt;;</span>
+</pre>
+<p>
+          <code class="computeroutput"><span class="identifier">mp_apply</span><span class="special">&lt;</span><span class="identifier">F</span><span class="special">,</span> <span class="identifier">L</span><span class="special">&gt;</span></code> applies the function <code class="computeroutput"><span class="identifier">F</span></code> to the contents of the list <code class="computeroutput"><span class="identifier">L</span></code>, that is, <code class="computeroutput"><span class="identifier">mp_rename</span><span class="special">&lt;</span><span class="identifier">F</span><span class="special">,</span> <span class="identifier">L</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">...&gt;&gt;</span></code>
+          is an alias for <code class="computeroutput"><span class="identifier">F</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">...&gt;</span></code>.
+          (<code class="computeroutput"><span class="identifier">mp_apply</span></code> is the same as
+          <code class="computeroutput"><span class="identifier">mp_rename</span></code> with the arguments
+          reversed.)
+        </p>
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h4 class="title">
 <a name="mp11.reference.list.mp_append_l"></a><a class="link" href="mp11.html#mp11.reference.list.mp_append_l" title="mp_append&lt;L...&gt;"><code class="computeroutput"><span class="identifier">mp_append</span><span class="special">&lt;</span><span class="identifier">L</span><span class="special">...&gt;</span></code></a>
 </h4></div></div></div>
 <pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span><span class="special">...</span> <span class="identifier">L</span><span class="special">&gt;</span> <span class="keyword">using</span> <span class="identifier">mp_append</span> <span class="special">=</span> <span class="comment">/*...*/</span><span class="special">;</span>
@@ -1688,7 +1705,7 @@
 </div>
 </div>
 <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
-<td align="left"><p><small>Last revised: March 20, 2017 at 14:09:13 GMT</small></p></td>
+<td align="left"><p><small>Last revised: March 24, 2017 at 12:24:11 GMT</small></p></td>
 <td align="right"><div class="copyright-footer"></div></td>
 </tr></table>
 <hr>
diff --git a/doc/mp11/list.qbk b/doc/mp11/list.qbk
index 19f1677..5b01b3b 100644
--- a/doc/mp11/list.qbk
+++ b/doc/mp11/list.qbk
@@ -85,6 +85,13 @@ is an alias for `L<U..., T...>`.
 `mp_rename<L, Y>` changes the type of the list `L` to `Y`. That is, `mp_rename<L<T...>, Y>` is an alias for `Y<T...>`.
 [endsect]
 
+[section `mp_apply<F, L>`]
+    template<template<class...> class F, class L> using mp_apply = mp_rename<L, F>;
+
+`mp_apply<F, L>` applies the function `F` to the contents of the list `L`, that is, `mp_rename<F, L<T...>>` is an alias for `F<T...>`.
+(`mp_apply` is the same as `mp_rename` with the arguments reversed.)
+[endsect]
+
 [section `mp_append<L...>`]
     template<class... L> using mp_append = /*...*/;
 
diff --git a/include/boost/mp11/list.hpp b/include/boost/mp11/list.hpp
index db57d65..85e590f 100644
--- a/include/boost/mp11/list.hpp
+++ b/include/boost/mp11/list.hpp
@@ -147,6 +147,8 @@ template<template<class...> class A, class... T, template<class...> class B> str
 
 template<class A, template<class...> class B> using mp_rename = typename detail::mp_rename_impl<A, B>::type;
 
+template<template<class...> class F, class L> using mp_apply = typename detail::mp_rename_impl<L, F>::type;
+
 // mp_append<L...>
 namespace detail
 {
diff --git a/test/mp_rename.cpp b/test/mp_rename.cpp
index e124683..3ad751a 100644
--- a/test/mp_rename.cpp
+++ b/test/mp_rename.cpp
@@ -1,5 +1,5 @@
 
-//  Copyright 2015 Peter Dimov.
+//  Copyright 2015-2017 Peter Dimov.
 //
 // Distributed under the Boost Software License, Version 1.0.
 //
@@ -20,68 +20,126 @@ int main()
 {
     using boost::mp11::mp_list;
     using boost::mp11::mp_rename;
+    using boost::mp11::mp_apply;
 
     using L1 = mp_list<>;
+
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L1, mp_list>, mp_list<>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L1, std::tuple>, std::tuple<>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L1, X>, X<>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L1, Y>, Y<>>));
 
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<mp_list, L1>, mp_list<>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<std::tuple, L1>, std::tuple<>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<X, L1>, X<>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<Y, L1>, Y<>>));
+
     using L2 = mp_list<char>;
+
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L2, mp_list>, mp_list<char>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L2, std::tuple>, std::tuple<char>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L2, X>, X<char>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L2, Y>, Y<char>>));
 
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<mp_list, L2>, mp_list<char>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<std::tuple, L2>, std::tuple<char>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<X, L2>, X<char>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<Y, L2>, Y<char>>));
+
     using L3 = mp_list<char, double>;
+
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L3, mp_list>, mp_list<char, double>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L3, std::tuple>, std::tuple<char, double>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L3, X>, X<char, double>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L3, Y>, Y<char, double>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L3, std::pair>, std::pair<char, double>>));
 
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<mp_list, L3>, mp_list<char, double>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<std::tuple, L3>, std::tuple<char, double>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<X, L3>, X<char, double>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<Y, L3>, Y<char, double>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<std::pair, L3>, std::pair<char, double>>));
+
     using L4 = mp_list<int, char, float>;
+
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L4, mp_list>, mp_list<int, char, float>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L4, std::tuple>, std::tuple<int, char, float>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L4, X>, X<int, char, float>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L4, Y>, Y<int, char, float>>));
 
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<mp_list, L4>, mp_list<int, char, float>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<std::tuple, L4>, std::tuple<int, char, float>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<X, L4>, X<int, char, float>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<Y, L4>, Y<int, char, float>>));
+
     //
 
     using L5 = std::tuple<>;
+
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L5, mp_list>, mp_list<>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L5, std::tuple>, std::tuple<>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L5, X>, X<>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L5, Y>, Y<>>));
 
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<mp_list, L5>, mp_list<>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<std::tuple, L5>, std::tuple<>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<X, L5>, X<>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<Y, L5>, Y<>>));
+
     using L6 = std::tuple<char>;
+
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L6, mp_list>, mp_list<char>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L6, std::tuple>, std::tuple<char>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L6, X>, X<char>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L6, Y>, Y<char>>));
 
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<mp_list, L6>, mp_list<char>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<std::tuple, L6>, std::tuple<char>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<X, L6>, X<char>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<Y, L6>, Y<char>>));
+
     using L7 = std::tuple<char, double>;
+
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L7, mp_list>, mp_list<char, double>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L7, std::tuple>, std::tuple<char, double>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L7, X>, X<char, double>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L7, Y>, Y<char, double>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L7, std::pair>, std::pair<char, double>>));
 
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<mp_list, L7>, mp_list<char, double>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<std::tuple, L7>, std::tuple<char, double>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<X, L7>, X<char, double>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<Y, L7>, Y<char, double>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<std::pair, L7>, std::pair<char, double>>));
+
     using L8 = std::tuple<int, char, float>;
+
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L8, mp_list>, mp_list<int, char, float>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L8, std::tuple>, std::tuple<int, char, float>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L8, X>, X<int, char, float>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L8, Y>, Y<int, char, float>>));
 
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<mp_list, L8>, mp_list<int, char, float>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<std::tuple, L8>, std::tuple<int, char, float>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<X, L8>, X<int, char, float>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<Y, L8>, Y<int, char, float>>));
+
     //
 
     using L9 = std::pair<char, double>;
+
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L9, mp_list>, mp_list<char, double>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L9, std::tuple>, std::tuple<char, double>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L9, X>, X<char, double>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L9, Y>, Y<char, double>>));
     BOOST_TEST_TRAIT_TRUE((std::is_same<mp_rename<L9, std::pair>, std::pair<char, double>>));
 
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<mp_list, L9>, mp_list<char, double>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<std::tuple, L9>, std::tuple<char, double>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<X, L9>, X<char, double>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<Y, L9>, Y<char, double>>));
+    BOOST_TEST_TRAIT_TRUE((std::is_same<mp_apply<std::pair, L9>, std::pair<char, double>>));
+
     //
 
     return boost::report_errors();