Empty Class is Transitive
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Example of Transitive Class
The empty class is transitive.
Vacuously, every element of $\O$ is also a subclass of $\O$.
Hence $\O$ is transitive by definition.
- 2010: Raymond M. Smullyan and Melvin Fitting: Set Theory and the Continuum Problem (revised ed.) ... (previous) ... (next): Chapter $2$: Some Basics of Class-Set Theory: $\S 10$ Some useful facts about transitivity