Goal:
  
  ============================
   (forall (A : Type) (E : EqDec A) (x y : A),
    reflectProp (x = y) (eq_dec_to_bool x y))


DEBUG:Going to execute:
simpl; intros; Tactics.destruct_all_rec_calls;
            repeat (Tactics.destruct_conjs; simpl proj1_sig in *); subst *;
            Tactics.autoinjections