{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T14:20:20Z","timestamp":1754144420560,"version":"3.41.2"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","license":[{"start":{"date-parts":[[2025,7,15]],"date-time":"2025-07-15T00:00:00Z","timestamp":1752537600000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2025,7,15]],"date-time":"2025-07-15T00:00:00Z","timestamp":1752537600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2025,7,15]],"date-time":"2025-07-15T00:00:00Z","timestamp":1752537600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"accepted":{"date-parts":[[2025,2,11]]},"abstract":"<jats:p xml:lang=\"en\">This paper outlines the formalization of derived categories in the mathematical library of the proof assistant Lean 4. The derived category D(C) of any abelian category C is formalized as the localization of the category of unbounded cochain complexes with respect to the class of quasi-isomorphisms, and it is endowed with a triangulated structure.<\/jats:p>","DOI":"10.46298\/afm.13609","type":"journal-article","created":{"date-parts":[[2025,7,15]],"date-time":"2025-07-15T14:50:16Z","timestamp":1752591016000},"source":"Crossref","is-referenced-by-count":1,"title":["Formalization of derived categories in Lean\/mathlib"],"prefix":"10.46298","volume":"Volume 1","author":[{"given":"Jo\u00ebl","family":"Riou","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/03xjwb503","id-type":"ROR","asserted-by":"publisher"}],"name":"University of Paris-Saclay"},{"id":[{"id":"https:\/\/ror.org\/03xjwb503","id-type":"ROR","asserted-by":"publisher"}],"name":"Universit\u00e9 Paris-Saclay"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"25203","published-online":{"date-parts":[[2025,7,15]]},"container-title":["Annals of Formalized Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/hal.science\/hal-04546712v5\/document","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/hal.science\/hal-04546712v5\/document","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,15]],"date-time":"2025-07-15T14:50:16Z","timestamp":1752591016000},"score":1,"resource":{"primary":{"URL":"https:\/\/afm.episciences.org\/13609"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,7,15]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/afm.13609","relation":{"has-preprint":[{"id-type":"uri","id":"https:\/\/hal.science\/hal-04546712v2","asserted-by":"subject"}],"is-same-as":[{"id-type":"uri","id":"https:\/\/hal.science\/hal-04546712v5","asserted-by":"subject"}]},"subject":[],"published":{"date-parts":[[2025,7,15]]},"article-number":"13609"}}