Formalization of Forcing in Isabelle/ZF

Emmanuel Gunther 📧, Miguel Pagano 🌐 and Pedro Sánchez Terraf 🌐

May 6, 2020

Abstract

We formalize the theory of forcing in the set theory framework of Isabelle/ZF. Under the assumption of the existence of a countable transitive model of ZFC, we construct a proper generic extension and show that the latter also satisfies ZFC.
BSD License

Topics

Theories of Forcing