### Abstract

In 1965, Nash-Williams discovered a generalisation of the infinite form of Ramsey's theorem. Where the latter concerns infinite sets of n-element sets for some fixed n, the Nash-Williams theorem concerns infinite sets of finite sets (or lists) subject to a “no initial segment” condition. The present formalisation follows a monograph on Ramsey Spaces by Todorčević.

### License

BSD License

### Topics

- Mathematics/Combinatorics

### Session Nash_Williams

- Nash_Extras
- Nash_Williams

### Used by

- Ordinal Partitions

## Cite

×

Nash_Williams-AFP

    @article{Nash_Williams-AFP,
      author  = {Lawrence C. Paulson},
      title   = {The Nash-Williams Partition Theorem},
      journal = {Archive of Formal Proofs},
      month   = {May},
      year    = {2020},
      note    = {\url{https://isa-afp.org/entries/Nash_Williams.html},
                 Formal proof development},
      ISSN    = {2150-914x},
    }

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