Proof of `Consistent symmetric binary prescriptions on two witness lists` (3rd statement)
groundedproofs/Lax342547Proofs/SymmetricPrescriptions.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
Construct the two symmetric diagonal blocks from the self-sum conditions and the cross block from the equality of its row and column totals. Its transpose gives the reverse block, so the full matrix has exactly the required diagonal and both list sums of every row.