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Maximum function

Definition

$X$
$\le$ … non-strict partial order over $X$
$\mathrm{max}:X\times X\to X $
$ \mathrm{max}(x,y) := \begin{cases} x & \mathrm{if}\ y\le x\\\\ y & \mathrm{else} \end{cases}$

Discussion

Context

Element of

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