Ordinals and Cardinals


Title: Ordinals and Cardinals
Author: Andrei Popescu
Submission date: 2009-09-01
Abstract: We develop a basic theory of ordinals and cardinals in Isabelle/HOL, up to the point where some cardinality facts relevant for the ``working mathematician" become available. Unlike in set theory, here we do not have at hand canonical notions of ordinal and cardinal. Therefore, here an ordinal is merely a well-order relation and a cardinal is an ordinal minim w.r.t. order embedding on its field.
Change history: [2012-09-25]: This entry has been discontinued because it is now part of the Isabelle distribution.
  author  = {Andrei Popescu},
  title   = {Ordinals and Cardinals},
  journal = {Archive of Formal Proofs},
  month   = sep,
  year    = 2009,
  note    = {\url{https://isa-afp.org/entries/Ordinals_and_Cardinals.html},
            Formal proof development},
  ISSN    = {2150-914x},
License: BSD License
Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.