Ohio Rev. Code Ann. § 3307.764
(B) If the person has contributions on deposit with the state teachers retirement system, the person may obtain credit if all of the following conditions are met:
(4) For each year of service credit, the retirement system transfers to the Cincinnati retirement system the sum of the following:
(C)
(1) If the person has received a refund of accumulated contributions to the state teachers retirement system, the person may obtain credit if all of the following conditions are met:
(d) For each year of service credit, the retirement system transfers to the Cincinnati retirement system the sum of the following: