Proof of `Weak duality`
groundedproofs/Lax109476Proofs/Basic.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
Multiply each dual inequality by the corresponding nonnegative primal coordinate, rearrange the finite double sum, and multiply each primal inequality by the corresponding nonnegative dual coordinate. No LP existence theorem is used.