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  title: 'Universal property of joins and meets in a poset',
  clickbait: 'Partially ordered sets are a good setting to illustrate some of the concepts of category theory; joins and meets are instances of category-theoretic ideas.',
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  text: '[summary(Technical): In a [-3rb], the [-3rc] are instances of the category-theoretic [4mj product] and coproduct.]\n\n[summary: We can see some of the ideas of [-4c7] by looking at the very simple examples of categories, such as [-3rb]s. In this setting, the [-3rc] turn out to correspond to the [4mj product] and coproduct.]\n\n[todo: state the UP of the product, using the divisibility in $\\mathbb{N}$ example and the example of subsets of $\\{1,2,3,4,5\\}$]\n[todo: state the UP of the coproduct, showing that it's the same as the product in $P^{\\text{op}}$]\n[todo: relate the product and coproduct UPs to the general concepts]',
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