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+Ltac induction_last :=
+ let v := match goal with
+ | |- forall x y, _ = _ -> _ => 1
+ | |- forall x y, _ -> _ = _ -> _ => 2
+ | |- forall x y, _ -> _ -> _ = _ -> _ => 3
+ end in
+ induction v.
+
+Goal forall n m : nat, True -> n = m -> m = n.
+ induction_last.
+ reflexivity.
+Qed. \ No newline at end of file