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-Set Implicit Arguments.
-Global Set Primitive Projections.
-Record Functor (C D : Type) := { object_of :> forall _ : C, D }.
-Axiom path_functor_uncurried : forall C D (F G : Functor C D) (_ : sigT (fun HO : object_of F = object_of G => Set)), F = G.
-Fail Lemma path_functor_uncurried_snd C D F G HO HM : (@path_functor_uncurried C D F G (existT _ HO HM)) = HM.