Abstract: This paper describes a formal proof of Cantor-Bernstein-Schroeder’s Theorem based on Morse-Kelley axiomatic set theory, which use inductive without axiom of choice in the proof assistant Coq ...

In this elementary paper we establish a few novel results in set theory; their interest is wholly foundational-philosophical in motivation. We show that in Cantor-Von Neumann Set-Theory (CVN), which ...