# 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. BibTeX: @article{Ordinals_and_Cardinals-AFP, 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.