Formalization of Forcing in Isabelle/ZF

Emmanuel Gunther, Miguel Pagano and Pedro Sánchez Terraf

6 May 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.
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@article{Forcing-AFP,
  author  = {Emmanuel Gunther, 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},
}
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