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Let L be a lattice of finite length, ξ = (x1,…, xk)∈Lk, and y ∈ L. The remotenessr(y, ξ) of y from ξ is d(y, x1)+⋯+d(y, xk), where d stands for the minimum path length distance in the covering graph of L. Assume, in addition, that L is a graded planar lattice. We prove that whenever r(y, ξ) ≤ r(z, ξ) for all z ∈ L, then y ≤ x1∨⋯∨xk. In other words, L satisfies the so-called c1-median property.