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  "body": "\n## Statement\n\nFor every real $x$, $\\exp(x) \u003e 0$.\n\n## Remarks\n\nBy [[the sum rule|0E8HNVBCSP]], $\\exp(x) = \\exp(x/2)^2 \\ge 0$. Also $\\exp(x) \\exp(-x) = 1$, so $\\exp(x) \\ne 0$.\nFor $x \\ge 0$, it also follows from the series, since all terms are nonnegative and the first is $1$.\nMathlib states it as `Real.exp_pos`.\n\n## Explanations\n\n### L1 human\n\nThe graph of $e^x$ stays above the $x$-axis.\nIt comes close to $0$ as $x \\to -\\infty$, but it never reaches $0$.\n",
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