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  "body": "\n## Definition\n\nLet $R \\subseteq A \\times B$ be a [[binary relation|08EJC6Q25H]] from $A$ to $B$.\nThe converse of $R$ is the relation from $B$ to $A$\n$$R^{-1} = \\{(b, a) \\in B \\times A \\mid (a, b) \\in R\\}.$$\nSo $b \\mathrel{R^{-1}} a$ if and only if $a \\mathrel{R} b$.\n\n## Remarks\n\nOther names are the inverse relation and the transpose. Another notation is $R^{T}$.\nThe converse of $\u003c$ on $\\mathbb{R}$ is $\u003e$.\nThe converse of the converse of $R$ is $R$.\nFor a [[bijection|0SNQEF7Z53]] $f$, the converse of the graph of $f$ is the graph of the [[inverse function|0W766JAPSN]].\n\n## Explanations\n\n### L1 human\n\nTo get the converse, read each pair backwards.\nThe converse of \"is a child of\" is \"is a parent of\".\n",
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