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  "body": "\n## Statement\n\nLet $F$ be a field and let $n \\ge 0$ be an integer.\nThe [[coordinate space|0XM8BZD76G]] $F^n$ has [[dimension|03GSZ8RTZJ]] $n$ over $F$.\n\n## Remarks\n\nThe [[standard basis|0V7ZD6P7RK]] $e_1, \\dots, e_n$ is a basis of $F^n$ with $n$ vectors.\nA consequence: each $n$-dimensional space over $F$ is isomorphic to $F^n$.\nIn Mathlib, the index type is `Fin n`, and the space is the type of functions `Fin n → F`.\n\n## Explanations\n\n### L1 human\n\nThe space of lists of $n$ numbers has dimension $n$.\nThe $n$ standard unit vectors form a basis.\nFor example, $\\R^3$ has dimension $3$.\n",
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