Verification of the Karamanlis chain

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full_proof_review: Retains the review of all twelve proof components, the corrected approximation lemma and the Ramsey corollary at the declared external inputs.

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The full-proof review records a PASS for all twelve components and for the Theorem 2 enclosure and Ramsey corollary, relative to the exact linked inputs. It does not certify the printed parameter range of Lemma 7.