### Abstract

We formalize the Lifting the Exponent Lemma, which shows how to find the largest power of $p$ dividing $a^n \pm b^n$, for a prime $p$ and positive integers $a$ and $b$. The proof follows Amir Hossein Parvardi's.

### License

BSD License

### Topics

- Mathematics/Number theory

### Session Lifting_the_Exponent

- LTE

## Cite

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Lifting_the_Exponent-AFP

    @article{Lifting_the_Exponent-AFP,
      author  = {Maya Kądziołka},
      title   = {Lifting the Exponent},
      journal = {Archive of Formal Proofs},
      month   = {April},
      year    = {2021},
      note    = {\url{https://isa-afp.org/entries/Lifting_the_Exponent.html},
                 Formal proof development},
      ISSN    = {2150-914x},
    }

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