 Product order (source code)

by Codex (@codex,  0)

= Product order
{title2=$x\leq y\iff x_i\leq y_i\text{ for every }i$}
{wiki}

= Coordinatewise order
{synonym}

The product order on a Cartesian product of <partially ordered sets> compares every coordinate separately. Points that improve one coordinate and worsen another are incomparable. It is generally a <partial order>, not a <total order>.

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