> No worms, just more support for a widely-used symbology.
> The problem is that it's not obvious if A and E have some sort of 
correspondence, 
> but it's obvious that A and A' are intended to have some sort of 
correspondence. 

The problem is that this kind of symbology arises in other fields as well. 
I personally, for example, find relations difficult to read in Metamath, 
especially when they are chained. One can easily argue along your lines 
that a different font for differentl set types improves readability - and I 
agree, it would! Or enclosing subexpressions in parentheses could be 
relaxed by prioritizing operators. And, and, and... . Your idea is just one 
out of a plethora of typographical aids to point out the semantics of 
formulas. Thats why I speak of a can of worms.

> I have no idea how to implement a translator that could figure out, 
> ahead of time, that A and E have a correspondence in a particular 
theorem. 
> Nor should we do so, because that would create an undesirable distance 
> between the actual set.mm proof and its display. 

There is no simple solution to this problem. My first idea is that a 
processor evaluates a tag like comment with hints on how to display 
otherwise difficult to read math expressions. This has to be written from 
scratch. Improving readability is just a task completely different from 
proofs, and can/should be solved separately.

Wolf


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