The Wolfram Notebook assistant proposes we thy the following.
Thank you very much for your reply. It looks really interesting, but will take me some time to study and aborb it.
Thank you very much for your reply. It makes clear to me that I need to become more familiar with Resolve. Do you have any ideas for an “animated elaboration” that would make the truth of conjecture apparent to those not familiar with the Wolfram Language??
Your swaps form a 1-1 and onto map from the set to itself. The construction of the set has it sorted. So sorting after the swaps will restore the original ordering.