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dc.contributor.authorRiccardi, Marco-
dc.date.accessioned2026-09-15T12:07:10Z-
dc.date.available2026-09-15T12:07:10Z-
dc.date.issued2008-
dc.identifier.citationFormalized Mathematics, Volume 16, Issue 2, 2008, Pages 203-205pl
dc.identifier.issn1426-2630-
dc.identifier.urihttp://hdl.handle.net/11320/21032-
dc.description.abstractThe goal of this article is to formalize two versions of Ramsey’s theorem. The theorems are not phrased in the usually pictorial representation of a coloured graph but use a set-theoretic terminology. After some useful lemma, the second section presents a generalization of Ramsey’s theorem on infinite set closely following the book [9]. The last section includes the formalization of the theorem in a more known version (see [1]).pl
dc.language.isoenpl
dc.publisherUniversity of Białystokpl
dc.rights.urihttps://creativecommons.org/licenses/by-sa/4.0/-
dc.titleRamsey’s Theorempl
dc.typeArticlepl
dc.rights.holder© 2009 Marco Riccardi, published by University of Białystokpl
dc.rights.holderThis work is licensed under the Creative Commons Licensepl
dc.identifier.doi10.2478/v10037-008-0026-y-
dc.description.referencesM. Aigner and G. M.Ziegler. Proofs from THE BOOK. Springer-Verlag, Berlin Heidelberg New York, 2004.pl
dc.description.referencesGrzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377–382, 1990.pl
dc.description.referencesGrzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107–114, 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, 1990.pl
dc.description.referencesCzesław Byliński. Partial functions. Formalized Mathematics, 1(2):357–367, 1990.pl
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dc.description.referencesKrzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35–40, 1990.pl
dc.description.referencesT. J. Jech. Set Theory. Springer-Verlag, Berlin Heidelberg New York, 2002.pl
dc.description.referencesRafał Kwiatek. Factorial and Newton coefficients. Formalized Mathematics, 1(5):887–890, 1990.pl
dc.description.referencesTakaya Nishiyama and Yasuho Mizuhara. Binary arithmetics. Formalized Mathematics, 4(1):83–86, 1993.pl
dc.description.referencesKonrad Raczkowski and Paweł Sadowski. Equivalence relations and classes of abstraction. Formalized Mathematics, 1(3):441–444, 1990.pl
dc.description.referencesMarco Riccardi. The sylow theorems. Formalized Mathematics, 15(3):159–165, 2007. [14] Andrzej Trybulec. A Borsuk theorem on homotopy types. Formalized Mathematics, 2(4):535–545, 1991.pl
dc.description.referencesZinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67–71, 1990.pl
dc.description.referencesEdmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73–83, 1990.pl
dc.description.referencesEdmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181–186, 1990.pl
dc.description.referencesAndrzej Trybulec. A Borsuk theorem on homotopy types. Formalized Mathematics, 2(4):535–545, 1991.pl
dc.identifier.eissn1898-9934-
dc.description.firstpage203pl
dc.description.lastpage205pl
dc.identifier.citation2Formalized Mathematicspl
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