62.1. The years and parts of a year of service that were recognized solely for purposes of entitlement to a pension under the Civil Service Superannuation Plan and the Pension Plan of Peace Officers in Penal Institutions are added, for purposes of entitlement to any pension, to the years of service credited pursuant to section 16. The same rule applies to years and parts of a year of service not credited under this plan by reason of the application of section 27.1 and to the years and parts of a year of service recognized solely for purposes of entitlement to a pension under an agreement of transferability under this plan entered into under section 158 of the Act respecting the Government and Public Employees Retirement Plan (chapter R-10), if they have not otherwise been credited pursuant to section 27.2 or, as the case may be, pursuant to the relevant agreement.