### Abstract

We demonstrate the existence and uniqueness of the base-$n$ representation of a natural number, where $n$ is any natural number greater than 1. This comes up when trying to translate mathematical contest problems and solutions into Isabelle/HOL.

### License

BSD License

### Topics

- Mathematics/Number theory

### Session DigitsInBase

- DigitsInBase

## Cite

×

DigitsInBase-AFP

    @article{DigitsInBase-AFP,
      author  = {Charles Staats},
      title   = {Positional Notation for Natural Numbers in an Arbitrary Base},
      journal = {Archive of Formal Proofs},
      month   = {April},
      year    = {2023},
      note    = {\url{https://isa-afp.org/entries/DigitsInBase.html},
                 Formal proof development},
      ISSN    = {2150-914x},
    }

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Older releases:

- Sep 13, 2023 : Isabelle2023
- Apr 14, 2023 : Isabelle2022