Formal Mathematics, the program to formalize, check, and manage mathematical knowledge, statements and proofs with computer support, is about to reach a critical threshold where it can efficiently support mathematical research and teaching. It has the chance to profoundly change practices in pure mathematics, as computer algebra systems have already changed computational and experimental mathematics. Computer-checked formalizations of mathematical theories can be seen as the kind of complete presentations that Euclid or Bourbaki were aiming for. Formalized results are absolutely correct (modulo remote chances of computer failures) and can be verified by simple ``mechanical'' methods independent of high-level mathematical intuitions, abilities or traditions. They constitute a solid canon of results on which further work can be founded.
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