Lax Lean Archive

While this submission is a draft, it cannot be used by other submissions.

Proof of `Dimension-independent moments of low-degree Boolean polynomials` (2nd statement)

groundedproofs/Lax253009Proofs/Hypercontractivity.lean · lax-253009

What this proof establishes

thm✓Lax253009.Hypercontractivity (2nd statement)

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitHub

Description

Iterate the fourth-moment inequality on powers of F. The degree bound grows with the power; all resulting constants remain independent of dimension.