In this thesis, we investigate several key results in the canon of metamathematics, applying
the contemporary perspective of formalisation in constructive type theory and mechanisation …

We study a transfinite construction we call tower construction in classical type theory. The
construction is inductive and applies to partially ordered types. It yields the set of all points …

We discuss and compare two Coq mechanisations of Sierpinski's result that the generalised
continuum hypothesis (GCH) implies the axiom of choice (AC). The first version shows the …

In this paper, we describe the formalization of the axiom of choice and several of its famous
equivalent theorems in Morse-Kelley set theory. These theorems include Tukey's lemma, the …

In this thesis, we investigate several key results in the canon of metamathematics, applying
the contemporary perspective of formalisation in constructive type theory and mechanisation …

In this thesis, we give a substantial formalisation of classical set theory in the proof system
Coq. We assume an axiomatisation of ZF and present a development of the theory …