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Answer by BrianO for Show that every proper filter on a set X can be extended...
Yes you have the needed ingredients, though it would be better to state 1. as: the union of a chain of proper filters is a proper filter.Zorn's Lemma applies to a partially ordered set in which every...
View ArticleShow that every proper filter on a set X can be extended to a proper prime...
Are the following enough to complete the proof?The union of a chain of filters is a filter.A maximal filter is an ultra-filter. How I can use Zorn's lemma to find the maximal filter?
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