Proof of `Valid separating inequalities from independent-set bounds` (2nd statement)
groundedproofs/Lax263307Proofs/ComponentCuts.lean · lax-263307
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
The conditioned-cost test is exactly the strict violation of the returned cut.
Proof strategy
Factor the common positive denominator out of the finite sum and clear it.
Attribution
Bonnet–Chang, Lemma 13.