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+Global Set Primitive Projections.
+Set Implicit Arguments.
+Record sigT {A} (P : A -> Type) := existT { projT1 : A ; projT2 : P projT1 }.
+Record PreCategory := { object :> Type ; morphism : object -> object -> Type }.
+Variable A : PreCategory.
+Variable Pobj : A -> Type.
+Local Notation obj := (sigT Pobj).
+Variable Pmor : forall s d : obj, morphism A (projT1 s) (projT1 d) -> Type.
+Class Foo (x : Type) := { _ : forall y, y }.
+Local Instance ishset_pmor {s d m} : Foo (Pmor s d m).
+Proof.
+SearchAbout ((forall _ _, _) -> Foo _).
+Abort.