4 Imperial College London (South Kensington Campus, London SW7 2AZ - Royaume-Uni)
4 Imperial College London (South Kensington Campus, London SW7 2AZ - Royaume-Uni)
Résumé
We formalize a complete proof of the regular case of Fermat's Last Theorem in the Lean4 theorem prover. Our formalization includes a proof of Kummer's lemma, that is the main obstruction to Fermat's Last Theorem for regular primes. Rather than following the modern proof of Kummer's lemma via class field theory, we prove it by using Hilbert's Theorems 90-94 in a way that is more amenable to formalization.
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https://hal.science/hal-04718128
Soumis le : mercredi 2 octobre 2024-12:25:05
Dernière modification le : vendredi 18 octobre 2024-03:23:37
Citer
Riccardo Brasca, Christopher Birkbeck, Eric Rodriguez Boidi, Alex Best, Ruben van De Velde, et al.. A complete formalization of Fermat's Last Theorem for regular primes in Lean. 2024. ⟨hal-04718128v1⟩
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