Should a transferred member who was a member of the city system under the retirement plan provided for in Article II of this chapter prior to his or her transfer die before retirement and while a member of the county system or after retirement under the county system, the city system shall be liable for the applicable death benefit provided in Sections 2.124.170, 2.124.180 and 2.124.190 of Article II of this chapter; provided, that if no allowance is payable on account of such death before retirement from causes other than injuries received in the performance of duty, the amount payable by the city system shall not be less than the member's accumulated contributions; and provided further that any allowance payable under such sections shall be calculated on the assumption that the service rendered by said member to the county was rendered instead to the city at the same rate of compensation paid by the county for such service and that any allowance so calculated upon death before retirement shall be reduced by an amount which is the actuarial equivalent of the death benefit payable by the county system and further reduced by the amount of any allowance payable by the county system because of the automatic continuance of all or part of such member's allowance under the county system. (Prior code § 34.07.704)