Proof of `Dimension-independent moments of low-degree Boolean polynomials` (4th statement)
groundedproofs/Lax253009Proofs/Hypercontractivity.lean · lax-253009
What this proof establishes
no assumptions
Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.
Description
Coordinate induction bounds the fourth moment by the squared Fourier energy weighted by 3^|S|. Low degree bounds every surviving weight by 3^l.