##  [Lifting the Exponent Lemma](/index.php/lifting-exponent-lemma) 

  ##  [Lifting the Exponent Lemma](https://puremath.quantumdictionary.io/lifting-exponent-lemma-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A lemma (often abbreviated LTE) that gives formulas for the p-adic valuation v_p(a^n − b^n) under standard divisibility conditions on integers a, b, n and a prime p, with special cases for p = 2 and when p divides a − b or a + b.