The website [Formalizing 100 Theorems](http://www.cs.ru.nl/~freek/100/) by [Freek Wiedijk](http://www.cs.ru.nl/~freek/) contains a list of some theorems that were chosen at some point as good candidates for formalization (because of there complexity, their importance, etc.) This website seems to be updated very often.

Among the proofs not yet formalized is that of the independence of the [Continuum Hypothesis](https://en.wikipedia.org/wiki/Continuum_hypothesis) from the axioms of set theory.

>What is the current state of the formalization of the independence of $\mathit{CH}$ from $\mathit{ZFC}$?

I browsed this site for more information, and I found [this recent question](http://mathoverflow.net/q/240085/66044), as well as [this one](http://mathoverflow.net/q/16386/66044) and [this](http://mathoverflow.net/q/8260/66044), and an [answer](http://math.stackexchange.com/a/1088656/212120) in math.SE. But I couldn't find information directly concerned with my question.