Peculiar property of conditional electron densities

The pth-order conditional electron density C(p)N(r1, …, rp-1|rp) of an N-electron system is shown to have a peculiar property that when the radius rp = |rp| of the pth electron approaches ∞, it reduces to the (p-1)th-order reduced density Γ(p-1)N-1(r1, …, rp-1) divided by p of the (N-1)-electron system arising from the removal of an electron from the original system, where both systems are considered to be in their ground states.