The Pelican stood tall on the man-made lake. It was comfortable in its surroundings. As the Canada Geese waddled over, they drew the attention of the Pelican. It was clear that the antisymmetric relation formulized an intuition wherein neither element preceded the other in this poset.
Both species seemed to be working on preorders of the key property of transitivity and equivalence. Within this cell, on this beautiful, calm evening, this set, with respect to the equivalence relation, were considered... equivalent. Watching the behavior of the cell group proved the verity.
On the water, images mirrored reflexive relation ~
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