Category:Kuratowski's Lemma
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This category contains pages concerning Kuratowski's Lemma:
Formulation 1
Let $\struct {S, \preceq}, S \ne \O$ be a non-empty ordered set.
Then every chain in $S$ is the subset of some maximal chain.
Formulation 2
Let $S$ be a set of sets which is closed under chain unions.
Then every element of $S$ is a subset of a maximal element of $S$ under the subset relation.
Subcategories
This category has the following 2 subcategories, out of 2 total.
Pages in category "Kuratowski's Lemma"
The following 10 pages are in this category, out of 10 total.