In this article, we formalize in the Mizar system [1, 7] the Lebesgue type integral and convergence theorems for non positive functions [8],[2]. Many theorems are based on our previous results [5], [6].
@article{bwmeta1.element.doi-10_1515_forma-2017-0022, author = {Noboru Endou}, title = {Integral of Non Positive Functions}, journal = {Formalized Mathematics}, volume = {25}, year = {2017}, pages = {227-240}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_forma-2017-0022} }
Noboru Endou. Integral of Non Positive Functions. Formalized Mathematics, Tome 25 (2017) pp. 227-240. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_forma-2017-0022/