# Formalization of Forcing in Isabelle/ZF

 Title: Formalization of Forcing in Isabelle/ZF Authors: Emmanuel Gunther (gunther /at/ famaf /dot/ unc /dot/ edu /dot/ ar), Miguel Pagano and Pedro Sánchez Terraf Submission date: 2020-05-06 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. BibTeX: @article{Forcing-AFP, author = {Emmanuel Gunther and Miguel Pagano and Pedro Sánchez Terraf}, title = {Formalization of Forcing in Isabelle/ZF}, journal = {Archive of Formal Proofs}, month = may, year = 2020, note = {\url{http://isa-afp.org/entries/Forcing.html}, Formal proof development}, ISSN = {2150-914x}, } License: BSD License Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.