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Background: An issue in my math study is that I haven't found a good way of storing the theorems ( mostly abstract algebra ) I studied and want to (re-)use in proofs. At the moment I use a personal Wiki and LaTeX but that doesn't -do- much for me. So I am thinking of investing time in learning an automated theorem prover package to which I am fairly newbie at the moment. A first Google search lead me to ACL2, Isabelle and Prover9 and that's where the confusion starts.

Question: - Given my requirements of documenting and re-using theorems which software tool is a good option to use? ( I have done a mathematical logic course already. )

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Aotomated Theorem Proving –  pedja Feb 12 '12 at 10:07
    
Thanks @pedja but from my perspective this only adds to the confusion. I don't want to follow dead tracks. –  ndroock1 Feb 12 '12 at 10:10
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@ndroock1: Automated theorem proving is about proving theorems in the sense of mathematical logic. Given that the vast majority of mathematicians do not write their proofs in formal systems, I think it is highly unlikely that an automatic theorem prover will be able to help you learn mathematics. –  Zhen Lin Feb 12 '12 at 11:32
    
@ZhenLin - My issue is not learning the theorems, but documenting them in a -productive- way. I read from the Isabelle project that it may become a requirement in the near future that when a paper is submitted to a journal the proofs should be readable by a formal system. –  ndroock1 Feb 12 '12 at 12:53
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@ndroock1: I think "near future" is very optimistic. Look at any paper submitted to a mathematical journal, or any mathematics textbook. In my view, your wish to "document" theorems is just a means to the goal of learning them – you have not really understood a theorem until you know how to use it! –  Zhen Lin Feb 12 '12 at 13:03

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