Proposition 1D

Proposition 1D states that in the context of a voting system, when different groups (or candidates) receive votes, the sum of the differences in votes between groups, when calculated across all possible pairs, is always equal to twice the total number of votes that are not shared equally between the groups. Essentially, it quantifies how much votes differ across all pairs, linking the total disagreements to the overall vote count, providing a mathematical way to measure the variation in support among candidates or options.