The Independence of the Continuum Hypothesis in Isabelle/ZF

Emmanuel Gunther, Miguel Pagano, Pedro Sánchez Terraf and Matías Steinberg

6 March 2022

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.
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@article{Independence_CH-AFP,
  author  = {Emmanuel Gunther, Miguel Pagano, Pedro Sánchez Terraf and Matías Steinberg},
  title   = {The Independence of the Continuum Hypothesis in Isabelle/ZF},
  journal = {Archive of Formal Proofs},
  month   = March,
  year    = 2022,
  note    = {\url{http://isa-afp.org/entries/Independence_CH.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
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