diff --git a/doc/manual/expressions/builtins.xml b/doc/manual/expressions/builtins.xml
index 0b11e2f5a..cb987ca02 100644
--- a/doc/manual/expressions/builtins.xml
+++ b/doc/manual/expressions/builtins.xml
@@ -39,6 +39,28 @@ available as <function>builtins.derivation</function>.</para>
   </varlistentry>
 
 
+  <varlistentry><term><function>builtins.all</function>
+  <replaceable>pred</replaceable> <replaceable>list</replaceable></term>
+
+    <listitem><para>Return <literal>true</literal> if the function
+    <replaceable>pred</replaceable> returns <literal>true</literal>
+    for all elements of <replaceable>list</replaceable>,
+    and <literal>false</literal> otherwise.</para></listitem>
+
+  </varlistentry>
+
+
+  <varlistentry><term><function>builtins.any</function>
+  <replaceable>pred</replaceable> <replaceable>list</replaceable></term>
+
+    <listitem><para>Return <literal>true</literal> if the function
+    <replaceable>pred</replaceable> returns <literal>true</literal>
+    for at least one element of <replaceable>list</replaceable>,
+    and <literal>false</literal> otherwise.</para></listitem>
+
+  </varlistentry>
+
+
   <varlistentry><term><function>builtins.attrNames</function>
   <replaceable>set</replaceable></term>
 
diff --git a/src/libexpr/primops.cc b/src/libexpr/primops.cc
index dd21bdc57..d1ad75a28 100644
--- a/src/libexpr/primops.cc
+++ b/src/libexpr/primops.cc
@@ -1333,6 +1333,37 @@ static void prim_foldlStrict(EvalState & state, const Pos & pos, Value * * args,
 }
 
 
+static void anyOrAll(bool any, EvalState & state, const Pos & pos, Value * * args, Value & v)
+{
+    state.forceFunction(*args[0], pos);
+    state.forceList(*args[1], pos);
+
+    Value vTmp;
+    for (unsigned int n = 0; n < args[1]->list.length; ++n) {
+        state.callFunction(*args[0], *args[1]->list.elems[n], vTmp, pos);
+        bool res = state.forceBool(vTmp);
+        if (res == any) {
+            mkBool(v, any);
+            return;
+        }
+    }
+
+    mkBool(v, !any);
+}
+
+
+static void prim_any(EvalState & state, const Pos & pos, Value * * args, Value & v)
+{
+    anyOrAll(true, state, pos, args, v);
+}
+
+
+static void prim_all(EvalState & state, const Pos & pos, Value * * args, Value & v)
+{
+    anyOrAll(false, state, pos, args, v);
+}
+
+
 /*************************************************************
  * Integer arithmetic
  *************************************************************/
@@ -1671,6 +1702,8 @@ void EvalState::createBaseEnv()
     addPrimOp("__concatLists", 1, prim_concatLists);
     addPrimOp("__length", 1, prim_length);
     addPrimOp("__foldl'", 3, prim_foldlStrict);
+    addPrimOp("__any", 2, prim_any);
+    addPrimOp("__all", 2, prim_all);
 
     // Integer arithmetic
     addPrimOp("__add", 2, prim_add);
diff --git a/tests/lang/eval-okay-any-all.exp b/tests/lang/eval-okay-any-all.exp
new file mode 100644
index 000000000..eb273f45b
--- /dev/null
+++ b/tests/lang/eval-okay-any-all.exp
@@ -0,0 +1 @@
+[ false false true true true true false true ]
diff --git a/tests/lang/eval-okay-any-all.nix b/tests/lang/eval-okay-any-all.nix
new file mode 100644
index 000000000..a3f26ea2a
--- /dev/null
+++ b/tests/lang/eval-okay-any-all.nix
@@ -0,0 +1,11 @@
+with builtins;
+
+[ (any (x: x == 1) [])
+  (any (x: x == 1) [2 3 4])
+  (any (x: x == 1) [1 2 3 4])
+  (any (x: x == 1) [4 3 2 1])
+  (all (x: x == 1) [])
+  (all (x: x == 1) [1])
+  (all (x: x == 1) [1 2 3])
+  (all (x: x == 1) [1 1 1])
+]