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  "body": "\n## Summary\n\nThe disjoint union of partially ordered sets places them side by side, with no relation between elements of different parts.\nInside each part the order is unchanged.\nIt is also called the parallel composition, or cardinal sum, and it is the coproduct of posets.\n\n## Explanations\n\n### L1 human\n\nPut two Hasse diagrams next to each other on the same page, without drawing any new lines.\nThat picture is the disjoint union.\nTwo separate two-element chains $a \u003c b$ and $c \u003c d$ give a poset with four elements in which $a$ and $d$ are incomparable.\n",
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