The website Formalizing 100 Theorems by Freek Wiedijk contains a list of some theorems that were chosen at some point as good candidates for formalization (because of their 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 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, as well as this one and this, and an answer in math.SE. But I couldn't find information directly concerned with my question.

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    $\begingroup$ The [proof-theory] tag was suggested on this, but it seems to me that this is a little different: This one is just about implementing some of the usual proofs. But I'll be glad to hear some argument supporting the tag. $\endgroup$ – Pedro Sánchez Terraf Mar 25 '17 at 11:40
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    $\begingroup$ math.stackexchange.com/questions/2205154/… $\endgroup$ – Asaf Karagila Mar 27 '17 at 13:25

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