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.

License

BSD License

Topics

Session Forcing

Cite

× 
@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{https://isa-afp.org/entries/Forcing.html},
             Formal proof development},
  ISSN    = {2150-914x},
}
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