"Down-line flights” definition:
All flights after the departing flight on a single leg of a trip. For example, if your outbound leg is NYC-LHR-PRG-CDG, the down-line flights are LHR-PRG and PRG-CDG. This applies only to interlined or cod"
https://www.theflightexpert.com/down-line-flights/

"Delta Confirms Through-Check Baggage Policy - Delta Professional
https://pro.delta.com/.../delta-confirms-through-check-bagga...
... and then re-checked by the customer with the downline carrier for the ... auprès du transporteur responsable du segment de vol subséquent."

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Note added at 1 hr (2019-07-01 09:53:41 GMT)
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a medical examiner is by no means ONLY a coroner :

"The Aviation Medical Examiner (AME)
you have no clue what an AME is or does. Here’s a quick summary.

Aviation Medical Examiners are licensed medical physicians (either MD or DO) that are designated by the FAA and therefore permitted to issue medical certificates to civilian pilots after performing a thorough flight physical examination and review of the pilot’s medical history.

A newly trained doctor is designated an AME. After 3 years experience and accomplishing a specific minimum number of examinations, a standard AME can apply to be designated a ‘Senior AME’ by the FAA. Once recognized as a senior AME, first class physicals can be performed for commercial pilots. Prior to this designation, only 2nd and 3rd class exams may be performed. Below is a brief explanation of the three classes of airman certification categories that exist for civilian aviators:

First-Class: Airline Transport Pilot
Second-Class: Commercial Pilot; Flight Engineer; Flight Navigator; or
Air Traffic Control Tower Operator. (Note: This category of air traffic controller does not include FAA employee air traffic control specialists)
Third-Class: Private Pilot, Recreational Pilot, or Student Pilot"
http://goflightmedicine.com/become-an-aviation-medical-exami...