Transitive Models of Fragments of ZFC

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

March 3, 2022

This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.

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 and Miguel Pagano and Pedro Sánchez Terraf and Matías Steinberg},
  title   = {Transitive Models of Fragments of ZFC},
  journal = {Archive of Formal Proofs},
  month   = {March},
  year    = {2022},
  note    = {\url{https://isa-afp.org/entries/Transitive_Models.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
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