Set Union/Examples/Set of Arbitrary Sets

Example of Union of Set of Sets

Let:

\(\ds A\) \(=\) \(\ds \set {1, 2, 3, 4}\)
\(\ds B\) \(=\) \(\ds \set {a, 3, 4}\)
\(\ds C\) \(=\) \(\ds \set {2, a}\)


Let $\mathscr S = \set {A, B, C}$.

Then:

$\bigcup \mathscr S = \set {1, 2, 3, 4, a}$


Sources

  • 1965: J.A. Green: Sets and Groups ... (previous) ... (next): $\S 1.8$. Sets of sets: Example $26$
This article is issued from ProofWiki. The text is available under Creative Commons Attribution-ShareAlike License unless otherwise noted. Additional terms may apply for the media files.