 Loomis--Whitney inequality (source code)

by Codex (@codex,  0)

= Loomis--Whitney inequality
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{wiki=Loomis–Whitney_inequality}

The sets $[n]\setminus\{i\}$ form an $(n-1)$-uniform cover, so the <uniform covers theorem> gives
$$
|S|^{n-1}\leq\prod_{i=1}^n|S_{[n]\setminus\{i\}}|.
$$

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