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  "body": "\n## Summary\n\nA bounded lattice is a [[lattice|WH4SFAACAS]] with a [[greatest element|0XR2QK49V6]] $1$ and a [[least element|0AANKKNHS4]] $0$.\nThese elements are the identities for the meet and the join: $x \\wedge 1 = x$ and $x \\vee 0 = x$.\nEvery finite nonempty lattice is bounded, and bounded lattices are the setting for complements, atoms and Boolean algebras.\n\n## Explanations\n\n### L1 human\n\nA bounded lattice has a bottom element below everything and a top element above everything.\nIn the lattice of subsets of a set $X$, the bottom is the empty set and the top is $X$ itself.\nThe interval $[0, 1]$ with its usual order is a bounded lattice, with bottom $0$ and top $1$.\nThe integers with their usual order form a lattice that is not bounded: there is no largest and no smallest integer.\n",
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