Thanks for the interest in this subject. It's surely tempting to try mmpp 
at some point in the future.

As for UI I think that the most important thing is that it should be 
adaptive to users progress. That is it should give a list of possible 
theorems to use depending on the context and this list should be presented 
in some creative form. It's a vague description, but without some better 
real world examples it is best description I could imagine. Introducing 
some visual elements for stimulating geometric intuition and using mouse 
might be a good idea. I admit that I was impressed by incredible.pm 
interface and Jape's Fitch boxes in its UI. As Frederic pointed out earlier 
there is interesting http://proofs.openlogicproject.org/. There are other 
browser based proof editors as well.

Sorry if this doesn't make much sense.

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