Abstract
Let a be a set, all of whose elements lie in the domain of some linear ordering R(x, y). We say that a is well ordered by R if every non-empty subset of a has a smallest element (mod. R). It is immediate that if a is well ordered by R then every subset of a is also well ordered by R then every subset of a is also well ordered by R.
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© 1971 D. Reidel Publishing Company, Dordrecht, Holland
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Krivine, JL. (1971). Ordinals, Cardinals. In: Introduction to Axiomatic Set Theory. Synthese Library, vol 34. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-3144-8_2
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DOI: https://doi.org/10.1007/978-94-010-3144-8_2
Publisher Name: Springer, Dordrecht
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