# The Independence of the Continuum Hypothesis in Isabelle/ZF

 Title: The Independence of the Continuum Hypothesis in Isabelle/ZF Authors: Emmanuel Gunther (gunther /at/ famaf /dot/ unc /dot/ edu /dot/ ar), Miguel Pagano, Pedro Sánchez Terraf and Matías Steinberg (matias /dot/ steinberg /at/ mi /dot/ unc /dot/ edu /dot/ ar) Submission date: 2022-03-06 Abstract: We redeveloped our formalization 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 proper generic extensions that satisfy the Continuum Hypothesis and its negation. BibTeX: @article{Independence_CH-AFP, author = {Emmanuel Gunther and Miguel Pagano and Pedro Sánchez Terraf and Matías Steinberg}, title = {The Independence of the Continuum Hypothesis in Isabelle/ZF}, journal = {Archive of Formal Proofs}, month = mar, year = 2022, note = {\url{https://isa-afp.org/entries/Independence_CH.html}, Formal proof development}, ISSN = {2150-914x}, } License: BSD License Depends on: Transitive_Models