Proof of `Fourier analysis on a finite Boolean cube` (4th statement)
groundedproofs/Lax253009Proofs/BooleanFourier.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
The sum factors coordinate by coordinate. A coordinate belonging to exactly one support contributes zero, and otherwise every coordinate contributes two.