diff --git a/runtime.h b/runtime.h
index 8eb39498..4f88e28d 100644
--- a/runtime.h
+++ b/runtime.h
@@ -100,6 +100,9 @@ static common_type Cyc_sub_op(object x, object y);
 static common_type Cyc_mul_op(object x, object y);
 static common_type Cyc_div_op(object x, object y);
 static common_type Cyc_sum(int argc, object n, ...);
+static common_type Cyc_sub(int argc, object n, ...);
+static common_type Cyc_mul(int argc, object n, ...);
+static common_type Cyc_div(int argc, object n, ...);
 static common_type Cyc_num_op_va_list(int argc, common_type (fn_op(object, object)), object n, va_list ns);
 static int equal(object,object);
 static list assq(object,list);