# Category Theory for ZFC in HOL III: Universal Constructions

 Title: Category Theory for ZFC in HOL III: Universal Constructions Author: Mihails Milehins (user9716869 /at/ gmail /dot/ com) Submission date: 2021-09-06 Abstract: The article provides a formalization of elements of the theory of universal constructions for 1-categories (such as limits, adjoints and Kan extensions) in the object logic ZFC in HOL of the formal proof assistant Isabelle. The article builds upon the foundations established in the AFP entry Category Theory for ZFC in HOL II: Elementary Theory of 1-Categories. BibTeX: @article{CZH_Universal_Constructions-AFP, author = {Mihails Milehins}, title = {Category Theory for ZFC in HOL III: Universal Constructions}, journal = {Archive of Formal Proofs}, month = sep, year = 2021, note = {\url{https://isa-afp.org/entries/CZH_Universal_Constructions.html}, Formal proof development}, ISSN = {2150-914x}, } License: BSD License Depends on: CZH_Elementary_Categories