### Trichotomy

**Trichotomy** is the statement that, for any two sets $A$ and $B$, either $|A|>|B|$, or $|A|<|B|$, or $|A|=|B|$. This statement is equivalent to the Axiom of Choice , but I haven't quite figured out how to prove this yet...

# set-theory

# cardinality

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