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- König's_theorem_(set_theory) abstract "In set theory, König's theorem (named after the Hungarian mathematician Gyula Kőnig, who published under the name Julius König) colloquially states that if the Axiom of Choice holds, I is a set, mi and ni are cardinal numbers for every i in I, and for every i in I then The sum here is the cardinality of the disjoint union of the sets mi and the product is the cardinality of the cartesian product. However, without the use of the Axiom of Choice, the sum and the product cannot be defined as cardinal numbers, and the meaning of the inequality sign would need to be clarified.".
- König's_theorem_(set_theory) wikiPageID "184082".
- König's_theorem_(set_theory) wikiPageRevisionID "569111424".
- König's_theorem_(set_theory) subject Category:Articles_containing_proofs.
- König's_theorem_(set_theory) subject Category:Axiom_of_choice.
- König's_theorem_(set_theory) subject Category:Cardinal_numbers.
- König's_theorem_(set_theory) subject Category:Theorems_in_the_foundations_of_mathematics.
- König's_theorem_(set_theory) comment "In set theory, König's theorem (named after the Hungarian mathematician Gyula Kőnig, who published under the name Julius König) colloquially states that if the Axiom of Choice holds, I is a set, mi and ni are cardinal numbers for every i in I, and for every i in I then The sum here is the cardinality of the disjoint union of the sets mi and the product is the cardinality of the cartesian product.".
- König's_theorem_(set_theory) label "König's theorem (set theory)".
- König's_theorem_(set_theory) label "Satz von König (Mengenlehre)".
- König's_theorem_(set_theory) label "Stelling van König (verzamelingenleer)".
- König's_theorem_(set_theory) label "Teorema de König (teoría de conjuntos)".
- König's_theorem_(set_theory) label "Théorème de König (théorie des ensembles)".
- König's_theorem_(set_theory) label "ケーニヒの定理 (集合論)".
- König's_theorem_(set_theory) sameAs K%C3%B6nig's_theorem_(set_theory).
- König's_theorem_(set_theory) sameAs Satz_von_König_(Mengenlehre).
- König's_theorem_(set_theory) sameAs Teorema_de_König_(teoría_de_conjuntos).
- König's_theorem_(set_theory) sameAs Théorème_de_König_(théorie_des_ensembles).
- König's_theorem_(set_theory) sameAs ケーニヒの定理_(集合論).
- König's_theorem_(set_theory) sameAs Stelling_van_König_(verzamelingenleer).
- König's_theorem_(set_theory) sameAs Q1077462.
- König's_theorem_(set_theory) sameAs Q1077462.
- König's_theorem_(set_theory) wasDerivedFrom König's_theorem_(set_theory)?oldid=569111424.