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dc.contributor.authorEndou, Noboru-
dc.contributor.authorNarita, Keiko-
dc.contributor.authorShidama, Yasunari-
dc.date.accessioned2026-09-15T09:41:22Z-
dc.date.available2026-09-15T09:41:22Z-
dc.date.issued2008-
dc.identifier.citationFormalized Mathematics, Volume 16, Issue 2, 2008, Pages 167-175pl
dc.identifier.issn1426-2630-
dc.identifier.urihttp://hdl.handle.net/11320/21027-
dc.description.abstractIn this article we prove the Monotone Convergence Theorem [16].pl
dc.language.isoenpl
dc.publisherUniversity of Białystokpl
dc.rights.urihttps://creativecommons.org/licenses/by-sa/4.0/-
dc.titleThe Lebesgue Monotone Convergence Theorempl
dc.typeArticlepl
dc.rights.holder© 2009 Noboru Endou, Keiko Narita, Yasunari Shidama, published by University of Białystokpl
dc.rights.holderThis work is licensed under the Creative Commons Licensepl
dc.identifier.doi10.2478/v10037-008-0023-1-
dc.description.AffiliationNoboru Endou - Gifu National College of Technology, Japanpl
dc.description.AffiliationKeiko Narita - Hirosaki-city Aomori, Japanpl
dc.description.AffiliationYasunari Shidama - Shinshu University Nagano, Japanpl
dc.description.referencesGrzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41–46, 1990.pl
dc.description.referencesGrzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91–96, 1990.pl
dc.description.referencesJózef Białas. Infimum and supremum of the set of real numbers. Measure theory. Formalized Mathematics, 2(1):163–171, 1991.pl
dc.description.referencesJózef Białas. Series of positive real numbers. Measure theory. Formalized Mathematics, 2(1):173–183, 1991.pl
dc.description.referencesJózef Białas. The σ-additive measure theory. Formalized Mathematics, 2(2):263–270, 1991.pl
dc.description.referencesCzesław Byliński. Binary operations. Formalized Mathematics, 1(1):175–180, 1990.pl
dc.description.referencesCzesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.pl
dc.description.referencesCzesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153–164, 1990pl
dc.description.referencesCzesław Byliński. Partial functions. Formalized Mathematics, 1(2):357–367, 1990pl
dc.description.referencesCzesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47–53, 1990.pl
dc.description.referencesNoboru Endou and Yasunari Shidama. Integral of measurable function. Formalized Mathematics, 14(2):53–70, 2006.pl
dc.description.referencesNoboru Endou, Yasunari Shidama, and Keiko Narita. Egoroff’s theorem. Formalized Mathematics, 16(1):57–63, 2008.pl
dc.description.referencesNoboru Endou, Katsumi Wasaki, and Yasunari Shidama. Basic properties of extended real numbers. Formalized Mathematics, 9(3):491–494, 2001.pl
dc.description.referencesNoboru Endou, Katsumi Wasaki, and Yasunari Shidama. Definitions and basic properties of measurable functions. Formalized Mathematics, 9(3):495–500, 2001.pl
dc.description.referencesNoboru Endou, Katsumi Wasaki, and Yasunari Shidama. The measurability of extended real valued functions. Formalized Mathematics, 9(3):525–529, 2001.pl
dc.description.referencesP. R. Halmos. Measure Theory. Springer-Verlag, 1987.pl
dc.description.referencesAndrzej Nędzusiak. σ-fields and probability. Formalized Mathematics, 1(2):401–407, 1990.pl
dc.description.referencesBeata Padlewska. Families of sets. Formalized Mathematics, 1(1):147–152, 1990.pl
dc.description.referencesBeata Perkowska. Functional sequence from a domain to a domain. Formalized Mathematics, 3(1):17–21, 1992.pl
dc.description.referencesZinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67–71, 1990.pl
dc.description.referencesEdmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181–186, 1990.pl
dc.description.referencesHiroshi Yamazaki, Noboru Endou, Yasunari Shidama, and Hiroyuki Okazaki. Inferior limit, superior limit and convergence of sequences of extended real numbers. Formalized Mathematics, 15(4):231–236, 2007.pl
dc.identifier.eissn1898-9934-
dc.description.firstpage167pl
dc.description.lastpage175pl
dc.identifier.citation2Formalized Mathematicspl
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