There is some discussion of this topic on the Isabelle mailing list:

https://lists.cam.ac.uk/pipermail/cl-isabelle-users/2015-September/msg00061.html
On Mar 20, 2016 1:44 AM, "Steve VanderLeest" <
[email protected]> wrote:

> Since the formal verification of functional correctness of seL4 was
> performed using the Isabelle theorem prover, could someone tell me if
> Isabelle itself has been formally verified?  If so, could you suggest some
> good references to that work?
>
> Regards,
> Steve
>
>
> Steven H. VanderLeest, Ph.D.
> Chief Operating Officer
> DornerWorks, Ltd.
> 3445 Lake Eastbrook
> Grand Rapids, MI 49546
> www.dornerworks.com
>
>
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