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  "body": "\n## Definition\n\nLet $f \\colon A \\to B$ be a [[function|0XHDTE5YMZ]].\nThe codomain of $f$ is the set $B$.\n\n## Remarks\n\nEach value $f(a)$ is in the codomain, but not every element of the codomain needs to be a value.\nThe set of values is the [[range|0E9GTAV478]] of $f$. It is a subset of the codomain.\nThe function $f$ is [[surjective|0XKH881BZ7]] when its range is the whole codomain.\n\n## Explanations\n\n### L1 human\n\nFor $f \\colon \\mathbb{R} \\to \\mathbb{R}$ with $f(x) = x^2$, the codomain is $\\mathbb{R}$.\nThe value $-1$ is in the codomain, but no input gives it.\n",
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    "name": "Codomain",
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  "name": "Codomain",
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