Draft — mutable and not usable as a dependency; its citation marks the draft state.

Proof of `Maximum-degree form of Rödl's theorem`

groundedproofs/Lax54Proofs/MaximumDegreeReduction.lean · lax-54

What this proof establishes

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

Proof of Lemma 4.3. Apply Rödl's theorem with density parameter 4E4E, then apply Lemma 4.2 with m=Z/2m=\lceil |Z|/2\rceil. The resulting set loses at most a factor of two in size and satisfies the required degree bound.