Notation for "and"

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Consider the real numbers $a$ and $b$. I would like to express in math notation, that $c = 2$ if $a > 0$ and $b > 0$. Can I use the wedge symbol here like

$c = 2 \quad \text{ if }a>0 \wedge b>0$

or is this wrong usage of the wedge symbol? Is there a better way to express this?

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It depends on you. Anyway in my opinion "and" is more elegant choice in this case.