##  [Strong Induction](/strong-induction) 

  ##  [Strong Induction](https://algebra.quantumdictionary.io/strong-induction-0) 

  

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**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A variant of induction where, to prove P(n+1), one assumes P(k) holds for all k ≤ n (the full set of smaller cases) rather than only assuming P(n); thus the inductive hypothesis is stronger and can use cumulative information from all previous instances.