[Math] In set theory, what does it mean for a variable to have a bar symbol above it

elementary-set-theorynotation

Please see the image below.

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What does the bar symbol mean in this context?

Best Answer

The complement of the set $B$, also commonly denoted as $B'$ or $B^c$. It is the set:

$$\bar{B} = B^c = B' = \{x \mid x \not \in B\}$$

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