Recursion Theorem in ZF

 

Title: Recursion Theorem in ZF
Author: Georgy Dunaev (georgedunaev /at/ gmail /dot/ com)
Submission date: 2020-05-11
Abstract: This document contains a proof of the recursion theorem. This is a mechanization of the proof of the recursion theorem from the text Introduction to Set Theory, by Karel Hrbacek and Thomas Jech. This implementation may be used as the basis for a model of Peano arithmetic in ZF. While recursion and the natural numbers are already available in Isabelle/ZF, this clean development is much easier to follow.
BibTeX:
@article{Recursion-Addition-AFP,
  author  = {Georgy Dunaev},
  title   = {Recursion Theorem in ZF},
  journal = {Archive of Formal Proofs},
  month   = may,
  year    = 2020,
  note    = {\url{http://isa-afp.org/entries/Recursion-Addition.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License