The following lemma shows that transitive sets play a prominent role in the set theory. They are omnipresent.
Lemma: Any Set is Subset of Some Transitive Set - Its Transitive Hull
| | | | | created: 2019-01-29 22:37:06 | modified: 2019-01-29 23:50:56 | by: bookofproofs | references: 
1.Proof: (related to "Any Set is Subset of Some Transitive Set - Its Transitive Hull")
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Bibliography (further reading)
 Hoffmann, D.: “Forcing, Eine Einführung in die Mathematik der Unabhängigkeitsbeweise”, Hoffmann, D., 2018