Proof of `Complementary slackness`
groundedproofs/Lax109476Proofs/Optimization.lean · lax-109476
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 duality gap equals the sum of the nonnegative row and column complementarity products. A finite sum of nonnegative real numbers vanishes exactly when all its terms vanish.