Lax Lean Archive

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

Proof of `Quantitative gaps for recursive component cuts` (3rd statement)

groundedproofs/Lax263307Proofs/StrongComponentGaps.lean · lax-263307

What this proof establishes

thm✓Lax263307.StrongComponentGaps (3rd statement)

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

Multiply the heavy-part rounded cost gap by the positive conditioning moment. The independence bound makes the cut valid on the exact hull.