Proof of `Walsh operator bounds with explicit bilinear rank` (2nd statement)
groundedproofs/Lax342547Proofs/BilinearWalsh.lean · lax-342547
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
Apply the bilinear estimate separately after each finite conditioning record. The two coefficient spaces may depend on the record. Sum with the original nonnegative cell masses, retaining all density costs and without normalizing discarded mass away.