diff --git a/src/test/run-pass/issue-19129-1.rs b/src/test/run-pass/issue-19129-1.rs
new file mode 100644
index 00000000000..eecc073b047
--- /dev/null
+++ b/src/test/run-pass/issue-19129-1.rs
@@ -0,0 +1,25 @@
+// Copyright 2014 The Rust Project Developers. See the COPYRIGHT
+// file at the top-level directory of this distribution and at
+// http://rust-lang.org/COPYRIGHT.
+//
+// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
+// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
+// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
+// option. This file may not be copied, modified, or distributed
+// except according to those terms.
+
+#![feature(associated_types)]
+
+trait Trait<Input> {
+    type Output;
+
+    fn method() -> <Self as Trait<Input>>::Output;
+}
+
+impl<T> Trait<T> for () {
+    type Output = ();
+
+    fn method() {}
+}
+
+fn main() {}
diff --git a/src/test/run-pass/issue-19129-2.rs b/src/test/run-pass/issue-19129-2.rs
new file mode 100644
index 00000000000..aeaf5e37644
--- /dev/null
+++ b/src/test/run-pass/issue-19129-2.rs
@@ -0,0 +1,19 @@
+// Copyright 2014 The Rust Project Developers. See the COPYRIGHT
+// file at the top-level directory of this distribution and at
+// http://rust-lang.org/COPYRIGHT.
+//
+// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
+// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
+// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
+// option. This file may not be copied, modified, or distributed
+// except according to those terms.
+
+#![feature(associated_types)]
+
+trait Trait<Input> {
+    type Output;
+
+    fn method() -> bool { false }
+}
+
+fn main() {}