From: Manuel Eberl <eberlm@in.tum.de>
The Nash–Williams Partition Theorem
by Lawrence C. Paulson
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.
https://www.isa-afp.org/entries/Nash_Williams.html
Enjoy,
Manuel
Last updated: Nov 21 2024 at 12:39 UTC