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We obtain a new outer bound on the capacity region of the two-user interference channel with generalized feedback (IC-GF). This outer bound is based on the idea of dependence balance which was proposed by Hekstra and Willems. We explicitly evaluate our outer bound for the Gaussian IC with user-cooperation (IC-UC), where each transmitter receives an additive white Gaussian noise corrupted version of the channel input of the other transmitter. We show that for all non-zero values of cooperation noise variances, our outer bound strictly improves upon the cut-set outer bound.