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Proof assistants are computer softwares that allow us to write mathematicalproofs so as to assess their correctness. In November 2021, I started theproject of checking the simplicity of the alternating groups within the Leantheorem prover and its mathlib library. This text aims at reviewing thisexperiment.  --  (French) Les assistants de preuves sont des logiciels qui permettent der\'ediger des d\'emonstrations math\'ematiques et d'en garantir leurcorrection. En novembre 2021, j'ai d\'ebut\'e un projet de v\'erification de lasimplicit\'e des groupes altern\'es au sein de l'assistant de preuve Lean, etde sa librairie mathlib. Ce texte est un essai de compte rendu de cetteexp\'erience.  --  Published version in Spanish

Un experimento de demostraci\'on formal de un teorema de nivel  intermedio en \'algebra (Formalizing the proof of an intermediate-level  algebra theorem -- An experiment)