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  "body": "\n## Definition\n\nLet $A$ be a set.\nA total order on $A$ is a [[partial order|011C29Q1S1]] $\\le$ on $A$ such that, for all $a, b \\in A$, $a \\le b$ or $b \\le a$.\n\n## Remarks\n\nOther names are linear order and simple order.\nThe usual orders on $\\mathbb{N}$, $\\mathbb{Z}$, $\\mathbb{Q}$ and $\\mathbb{R}$ are total orders.\nThe order $\\subseteq$ on the power set of $\\{1, 2\\}$ is not total.\n\n## Explanations\n\n### L1 human\n\nIn a total order, all elements stand on one line.\nFor any two of them, one comes before the other, or they are equal.\n",
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