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Exists is Uniform of rdist eq zero

exists_isUniform_of_rdist_eq_zero

Plain-language statement

If $d[X_1;X_2]=0$ , then there exists a subgroup $H \leq G$ such that $d[X_1;U_H] = d[X_2;U_H] = 0$ . Follows from the preceding claim by the triangle inequality.