I also think the future of mathematics lies in formal proofs. If there were 
a database of all known proofs creating new proofs would be much easier and 
more reliable. It would also reduce duplication of efforts which must 
happen a lot. 

One thing I think is there is probably a network effect issue. Given there 
are many formal proof systems my guess is one will win out and become the 
standard and then anyone who is choosing which to use will default to that 
one because it is the one everyone uses. 

For that reason I think things like Davids new tutorial video are very 
powerful for the future of the system. Another is the idea of having a web 
based editor that is easy to access.

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