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diff --git a/testsuite/tests/partial-sigs/should_compile/T15039a.hs b/testsuite/tests/partial-sigs/should_compile/T15039a.hs
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+{-# LANGUAGE ConstraintKinds #-}
+{-# LANGUAGE GADTs #-}
+{-# LANGUAGE PartialTypeSignatures #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE PolyKinds #-}
+{-# LANGUAGE TypeOperators #-}
+{-# OPTIONS_GHC -fdefer-type-errors #-}
+module T15039a where
+
+import Data.Coerce
+import Data.Kind
+import Data.Type.Coercion
+import Data.Type.Equality
+
+data Dict :: Constraint -> Type where
+ Dict :: c => Dict c
+
+ex1 :: Dict ((a :: Type) ~ (b :: Type)) -> ()
+ex1 (Dict :: _) = ()
+
+ex2 :: Dict ((a :: Type) ~~ (b :: Type)) -> ()
+ex2 (Dict :: _) = ()
+
+ex3 :: Dict ((a :: Type) ~~ (b :: k)) -> ()
+ex3 (Dict :: _) = ()
+
+-- Don't know how to make GHC print an unlifted, nominal equality in an error
+-- message.
+--
+-- ex4, ex5 :: ???
+
+ex6 :: Dict (Coercible (a :: Type) (b :: Type)) -> ()
+ex6 (Dict :: _) = ()
+
+ex7 :: _ => Coercion (a :: Type) (b :: Type)
+ex7 = Coercion
+
+-- Don't know how to make GHC print an unlifted, heterogeneous,
+-- representational equality in an error message.
+--
+-- ex8 :: ???