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Re:Will Computers Redefine the Roots of Math? by eli_gottlieb on Wednesday May 20, 2015 @10:49AM (#9576666)
You can't have a bug in the proof library, or the proof-checker won't accept your proof as true! You can have a bug in the proof-checking kernel which makes it accept false theorems, but that's precisely why we keep proof-checking kernels as small and well-debugged as possible, sometimes going so far as to formally verify them too (Coq in Coq[1]).

[1] http://www.lix.polytechnique.fr/~barras/publi/coqincoq.pdf

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