# The Nash-Williams Partition Theorem

 Title: The Nash-Williams Partition Theorem Author: Lawrence C. Paulson Submission date: 2020-05-16 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. BibTeX: @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{http://isa-afp.org/entries/Nash_Williams.html}, Formal proof development}, ISSN = {2150-914x}, } License: BSD License