Proof. By Theorem 2.3 it suffices to consider p = 2. Let y ∈ 1 and z ∈ 2. Let ’ = (’1 , ’2 ) be obtained from by interchanging y and z, and let m’1 and m’2 be the medians of ’1 and ’2 . Without loss of generality, assume m1 ≤ m2.
Proof. By Theorem 2.3 it suffices to consider p = 2. Let y ∈ 1 and z ∈ 2. Let ’ = (’1 , ’2 ) be obtained from by interchanging y and z, and let m’1 and m’2 be the medians of ’1 and ’2 . Without loss of generality, assume m1 ≤ m2.