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I think there is a significant difference between enunciating a theorem, and writing a standalone program that specifies the task of proving it. The latter requires to define the terms used and to code a way to check the correctness of candidate solutions -- a lot of code
Would the proof of Fermat's last theorem, in HOL, compressed, be much larger than the minimum amount of code required to define a HOL theorem proving environment?
1/ My claim that it would be. But I have not tried. The theorem introduces many complex concepts and is not a matter of combinatorial
2/ exhaustion like 4 colour theorem is, for instance.
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