quartz/content/private/templates/induction-proof-template.md
2022-04-09 14:56:32 +12:00

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We will prove that, for every non-negative integer $n$, *insert property here*
For $n = 0$, *The property* is true because *explicit verification of this case*
For any $n > 0$, assuming *the property* is true for $n-1$ (or, for all $k < n$), *the property* is true at $n$ because *explain why we can take a step up*
Therefore, by induction, *the property* is true for all n.