[compl.ana]
Permuting entries of the cross-ratio: If \lambda = \left[ z_1, z_2; z_3, z_4\right] then

  1. \left[ z_1, z_2; z_4, z_3\right] = \frac{1}{\lambda}
  2. \left[ z_1, z_3; z_2, z_4\right] = 1- \lambda
  3. \left[ z_2, z_1; z_3, z_4 \right] = \frac{1}{\lambda}
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