Category:Definitions/Class Union
Jump to navigation
Jump to search
This category contains definitions related to Class Union.
Related results can be found in Category:Class Union.
Let $A$ and $B$ be two classes.
The (class) union $A \cup B$ of $A$ and $B$ is defined as the class of all sets $x$ such that either $x \in A$ or $x \in B$ or both:
- $x \in A \cup B \iff x \in A \lor x \in B$
or:
- $A \cup B = \set {x: x \in A \lor x \in B}$
General Definition
Let $A$ be a class.
The union of $A$ is:
- $\bigcup A := \set {x: \exists y: x \in y \land y \in A}$
That is, the class of all elements of all elements of $A$ which are themselves sets.
Pages in category "Definitions/Class Union"
The following 3 pages are in this category, out of 3 total.