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  "body": "\n## Statement\n\nLet $m$ be a natural number and let $P(n)$ be a property of natural numbers $n$ with $n \\ge m$.\nSuppose that $P(m)$ holds.\nSuppose also that for each natural number $n \\ge m$, $P(n)$ implies $P(n + 1)$.\nThen $P(n)$ holds for every natural number $n \\ge m$.\n\n## Remarks\n\nThe proof applies ordinary [[induction|0ASJVEFA9J]] to the property $Q(k)$: \"$P(m + k)$ holds\".\nFor example, induction from $m = 4$ shows that $2^n \\ge n^2$ for every natural number $n \\ge 4$.\n\n## Explanations\n\n### L1 human\n\nSometimes a property is false for small numbers and true from some point on.\nThen you start the induction at that point instead of at $0$.\nThe dominoes start falling at domino number $m$, and the dominoes before it do not matter.\n",
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