Proof of `A bounded rounded ellipsoid search with answer-or-cut replies` (2nd statement)
groundedproofs/Lax263307Proofs/RoundedOracleSearch.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.
Description
Failure without an immediate rejection means every tested center returned a cut. Those cuts retain the protected ball, contradicting the registered rounded sequence's determinant decrease at the explicit iteration budget.