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  "body": "\n## Statement\n\nLet $X$ be a [[topological space|0CNQXVBHCX]] and let $S \\subseteq X$.\nThen the [[closure|0DRKT1QJR7]] $\\overline{S}$ is a [[closed set|0G5AV9Q4RR]] of $X$.\n\n## Remarks\n\nProof: $\\overline{S}$ is an intersection of closed sets, and each [[intersection of closed sets is closed|09YMV8H4X5]].\nIt follows that $\\overline{\\overline{S}} = \\overline{S}$.\n\n## Explanations\n\n### L1 human\n\nThe closure is built as an intersection of closed sets, and such an intersection is again closed.\n",
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