Lemma: Properties of Transitive Setsdeleteeditadd to favorites[id:721]vote: last edited 0 min ago by bookofproofs 1. If \(X\) is a transitive set, 1a. so is the set \(X\cup\{X\}\), and 1b. the power set \(\mathcal P(X)\). 2. If \(X\) is a set of transitive sets, so is: 2a. the union of its elements \(\bigcup X\), and 2b. the intersection of its elements \(\bigcap X\). References [656] Hoffmann, Dirk W.: “Grenzen der Mathematik - Eine Reise durch die Kerngebiete der mathematischen Logik”, Spektrum Akademischer Verlag, 2011 Contribute to BoP: add a new Proof add add a new Axiom add add a new Definition add add a new Motivation add add a new Example add add a new Application add add a new Explanation add add a new Interpretation add add a new Corollary add add a new Algorithm add add a new Open Problem add add a new Bibliography (Branch) add add a new Comment (Branch) add |
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