Green's Open Problems #56

### What is the conjecture
https://people.maths.ox.ac.uk/greenbj/papers/open-problems.pdf#problem.56

Bounds for the inverse theorem for Gowers norms.

### [AMS categories](https://github.com/google-deepmind/formal-conjectures/labels?q=ams-)

* ams-05
* ams-11

### Choose either option
- [ ] I plan on adding this conjecture to the repository
- [x] This issue is up for grabs: I would like to see this conjecture added by somebody else

Start with the linked Green's Open Problems PDF, specifically problem 56, then inspect existing formalized conjectures in the repository for the expected statement structure and supporting tests. Done means adding a faithful Lean formalization of the bounds for the inverse theorem for Gowers norms, with the repository's checks passing.

Written by the indexing model from the issue text.