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  "body": "\n## Summary\n\nIn set theory, a **prewellordering** on a [[set|0BSJ7RQ9BW]] $X$ is a [[preorder|0VABYWJWH9]] $\\leq$ on $X$ (a [[transitive|0CYRECG2YQ]] and [[reflexive|0X8NMST0J2]] relation on $X$) that is strongly connected (meaning that any two points are comparable) and [[well-founded|0230ECX1Q5]] in the sense that the induced relation $x \u003c y$ defined by $x \\leq y \\text{ and } y \\nleq x$ is a [[well-founded relation|0230ECX1Q5]].\n",
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