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  • I don't think your last edit is correct. \vert and \Vert are declared as \mathord, not \mathbin. Commented Dec 23, 2020 at 11:52
  • @campa thanks, you may be right because I don't fully understand your comment. What aspect of what I put is untrue? The part about the kerning? This might be wrong. Also I started out thinking of $\mid$ and then changed when I realsed there is no $\Mid$. Commented Dec 23, 2020 at 18:14
  • The bit about spacing is incorrect. \mid has the spacing of a binary relation, but \vert is an ordinary symbol. And as you say there is indeed no Mid. (I was wrong too, I wrote \mathbin but actually meant \mathrel.) Bottom line: \vert and \Vert are not kerned. \mid is, and for thr double bar you must either do \mathrel{\Vert}, or insert spacong manually (as egreg did) or define your own macro \Mid. Commented Dec 23, 2020 at 18:37
  • THanks @campa . Is that all accurate now? IF so I will prune these comments. Commented Dec 23, 2020 at 18:55
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    @limone "the best" can be an ambiguous criterion but if you mean the best for the original poster, they ultimately declared in the question that they found \middle to work best for their purposes. That might well be the same as my \mid. Commented Aug 17, 2023 at 10:50