@InProceedings{vandoorn_et_al:LIPIcs.ITP.2024.37, author = {van Doorn, Floris and Macbeth, Heather}, title = {{Integrals Within Integrals: A Formalization of the Gagliardo-Nirenberg-Sobolev Inequality}}, booktitle = {15th International Conference on Interactive Theorem Proving (ITP 2024)}, pages = {37:1--37:18}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-337-9}, ISSN = {1868-8969}, year = {2024}, volume = {309}, editor = {Bertot, Yves and Kutsia, Temur and Norrish, Michael}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2024.37}, URN = {urn:nbn:de:0030-drops-207657}, doi = {10.4230/LIPIcs.ITP.2024.37}, annote = {Keywords: Sobolev inequality, measure theory, Lean, formalized mathematics} }