I am flying from Detroit to PVG then onwards to MNL via delta.

I am flying delta airlines to PVG and connecting to MNL via china eastern. Do I need to go through customs/immigrations formalities in PVG and more importantly, do I need to pick up my luggage in PVG (for inspection or repeat check in or whatever purpose) as it will be a different carrier. My itinerary is all in one ticket and as far as I know, Delta and China Eastern Airlines are partners. Please let me know.

Thanks,

JB