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  "body": "\n## Example\n\nThe two-element Boolean algebra is the set $\\{0, 1\\}$ with these operations.\n$a \\wedge b = 1$ if and only if $a = b = 1$.\n$a \\vee b = 0$ if and only if $a = b = 0$.\n$\\neg 0 = 1$ and $\\neg 1 = 0$.\nIt satisfies the axioms of a [[Boolean algebra|06GKBTAA5E]], with $0$ as least element and $1$ as greatest element.\n\n## Remarks\n\nIf $1$ means true and $0$ means false, then $\\wedge$, $\\vee$ and $\\neg$ are the connectives and, or and not.\nAn equation in the Boolean operations holds in all Boolean algebras if and only if it holds in the two-element Boolean algebra.\nIt is isomorphic to the power set of a set with one element.\n\n## Explanations\n\n### L1 human\n\nThe two-element Boolean algebra is the algebra of true and false.\nIt is also the algebra of one bit in a digital circuit.\n",
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