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diff --git a/testsuite/tests/indexed-types/should_compile/T3851.hs b/testsuite/tests/indexed-types/should_compile/T3851.hs
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+{-# LANGUAGE GADTs, TypeFamilies #-}
+
+module T3851 where
+
+type family TF a :: * -> *
+type instance TF () = App (Equ ())
+
+data Equ ix ix' where Refl :: Equ ix ix
+data App f x = App (f x)
+
+-- does not typecheck in 6.12.1 (but works in 6.10.4)
+bar :: TF () () -> ()
+bar (App Refl) = ()
+
+-- does typecheck in 6.12.1 and 6.10.4
+ar :: App (Equ ()) () -> ()
+ar (App Refl) = ()
+
+------------------
+data family DF a :: * -> *
+data instance DF () a = D (App (Equ ()) a)
+
+bar_df :: DF () () -> ()
+bar_df (D (App Refl)) = ()