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  "body": "\n## Statement\n\nLet $i$ be the [[imaginary unit|0ESCX36MMC]] of $\\mathbb{C}$.\nThen $i^2 = -1$.\n\n## Remarks\n\nWith the product of [[complex numbers|09FTAET5Z4]], $(0 + 1 i)(0 + 1 i) = (0 \\cdot 0 - 1 \\cdot 1) + (0 \\cdot 1 + 1 \\cdot 0) i = -1$.\nAlso $(-i)^2 = -1$. Thus $-1$ has the two square roots $i$ and $-i$ in $\\mathbb{C}$.\n\n## Explanations\n\n### L1 human\n\nThis is the property that defines $i$.\nAll the rules for computation with complex numbers come from the usual rules of algebra together with $i^2 = -1$.\n",
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