Proof of `Infinity-distance projection LP and its separating dual` (6th statement)
groundedproofs/Lax263307Proofs/DistanceProjection.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
Compare the returned distance with the chosen radius. The primal point is either within that radius, or the dual normal separates by strictly more than it.