While this submission is a draft, it cannot be used by other submissions.

Proof of `The row-corank bound for a uniform binary matrix` (3rd statement)

groundedproofs/Lax342547Proofs/CorankCounting.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.

Read the Lean proof on GitHub

Description

Normalize the independent-relation count and cancel the common power of two, obtaining exactly 2^(sm)/2^(sn). If s exceeds the number of rows, the bad event is empty.