Cofinality and the Delta System Lemma

Pedro Sánchez Terraf

27 December 2020

Abstract

We formalize the basic results on cofinality of linearly ordered sets and ordinals and Šanin’s Lemma for uncountable families of finite sets. This last result is used to prove the countable chain condition for Cohen posets. We work in the set theory framework of Isabelle/ZF, using the Axiom of Choice as needed.
BSD License

Topics

Theories