Transitive Models of Fragments of ZFC

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

3 March 2022

Abstract

We extend the ZF-Constructibility library by relativizing theories of the Isabelle/ZF and Delta System Lemma sessions to a transitive class. We also relativize Paulson's work on Aleph and our former treatment of the Axiom of Dependent Choices. This work is a prerrequisite to our formalization of the independence of the Continuum Hypothesis.
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@article{Transitive_Models-AFP,
  author  = {Emmanuel Gunther, Miguel Pagano, Pedro Sánchez Terraf and Matías Steinberg},
  title   = {Transitive Models of Fragments of ZFC},
  journal = {Archive of Formal Proofs},
  month   = March,
  year    = 2022,
  note    = {\url{http://isa-afp.org/entries/Transitive_Models.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
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