Proof of `Bicliques with pendant neighbors`
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
Deleting an edge preserves the partition and private-neighbor condition. The reachable pairs of biclique-side sizes are precisely the one-side and two-side decrements. Their minimum excluded value is the stated formula.