Category:Transitive Classes
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This category contains results about Transitive Classes.
Definitions specific to this category can be found in Definitions/Transitive Classes.
Let $A$ denote a class, which can be either a set or a proper class.
Then $A$ is transitive if and only if every element of $A$ is also a subclass of $A$.
That is, $A$ is transitive if and only if:
- $x \in A \implies x \subseteq A$
or:
- $\forall x: \forall y: \paren {x \in y \land y \in A \implies x \in A}$
Subcategories
This category has the following 8 subcategories, out of 8 total.
Pages in category "Transitive Classes"
The following 18 pages are in this category, out of 18 total.