Proof of `Bounded descriptions of large matrix kernels` (4th statement)
groundedproofs/Lax342547Proofs/KernelWitness.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
Cover the large-kernel event by the zero-image events of all bounded coefficient certificates. Each valid certificate satisfies the cap; invalid ones contribute an empty event. Apply the finite union bound.