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+Require Import Coq.Setoids.Setoid.
+
+Goal forall (T2 MT1 MT2 : Type) (x : T2) (M2 m2 : MT2) (M1 m1 : MT1) (F : T2 -> MT1 -> MT2 -> Prop),
+ (forall (defaultB : T2) (m3 : MT1) (m4 : MT2), F defaultB m3 m4 <-> True) -> F x M1 M2 -> F x m1 m2.
+ intros ????????? H' H.
+ rewrite (H' _) in *.
+ (** The above rewrite should also rewrite in H. *)
+ Fail progress rewrite H' in H.