# Category:Precisely One Function

Let $p_1, p_2, \ldots, p_n$ be statements.
The precisely one function is the propositional function $\map P {p_1, p_2, \ldots, p_n}$ defined as:
$\map P {p_1, p_2, \ldots, p_n}$ is true if and only if precisely one of $p_1, p_2, \ldots, p_n$ is true.