How can I prove It? I'm not used to proves involving Universal set. I know that sets are equality It they mutually subsets of each other.
2026-04-02 09:12:40.1775121160
Prove $A \cup \bar A = \mathcal U$
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If $x\in\mathcal{U}$ then $x\in A$ or $x\not\in A$, so either way $x\in A\cup\bar{A}$; the converse is trivial.