@techreport{boldo:hal-03564379, TITLE = {{Lebesgue Induction and Tonelli's Theorem in Coq}}, AUTHOR = {Boldo, Sylvie and Cl{\'e}ment, Fran{\c c}ois and Martin, Vincent and Mayero, Micaela and Mouhcine, Houda}, URL = {https://inria.hal.science/hal-03564379}, TYPE = {Research Report}, NUMBER = {RR-9457}, PAGES = {17}, INSTITUTION = {{Institut National de Recherche en Informatique et en Automatique (INRIA)}}, YEAR = {2023}, MONTH = Jan, KEYWORDS = {Formal proof ; Coq ; Measure theory ; Lebesgue integration ; Tonelli theorem ; Preuve formelle ; Coq ; Th{\'e}orie de la mesure ; Int{\'e}grale de Lebesgue ; Th{\'e}or{\`e}me de Tonelli}, PDF = {https://inria.hal.science/hal-03564379v2/file/RR-9457.pdf}, HAL_ID = {hal-03564379}, HAL_VERSION = {v2}, }