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` (5th statement)

groundedproofs/Lax253009Proofs/Hypercontractivity.lean · lax-253009

What this proof establishes

thm✓Lax253009.Hypercontractivity (5th 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

Fourier coefficients of a product are convolutions over symmetric difference. A surviving support has cardinality at most the sum of the two degrees.