On some consideration, surely. On the other hand, but at some point this is borderline like saying "universe already solved every physical problems, including possibility to represent deep important point of its own structure in compressed intelligent ways" and then tell that reaching it in an actual grabbable artifact is left as an exercise.

Possibly yes such a representation is possible. But it doesn’t mean it’s certain there is a "best compressed representation". And even less one that encompass everything important and that is understandable by any human brain, even the most exceptionally brilliant ones sponsored by a whole society to reach their best possible achievable performance on that goal through full dedication on that sole task.

There is no guarantee that the lean proof is 1:1 with the natural language equivalent. The lean proof can be lesser. This happened in the Navier-Stokes proof, e.g. see [1] in example 3.1. Having the certificate doesn't necessarily imply correctness.

[1] https://arxiv.org/abs/2610.08144