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Proof of `Protected balls for the rounded ellipsoid method` (2nd statement)

groundedproofs/Lax263307Proofs/BufferedEllipsoid.lean · lax-263307

What this proof establishes

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

The squared norm of a sum is at most twice each summand square. Both the scaled cube point and the perturbation have squared norm at most 1/16.