What do you call the process of reducing inflammation or the state that inflammation has been cured?
It seems like healing should be the "opposite" of inflammation. However, as you have probably read, the process of inflammation is technically a part of the process of healing (even though inflammation is often the cause of a patient's pain and other problems).
In medical circles, experts speak of the abatement or resolution of inflammation.
Dorland's Illustrated Medical Dictionary, 31st Edition has these entries for these terms:
Abatement: A decrease in the severity of a pain or a symptom.
Resolution: 1. The subsidence of a pathologic state, as the subsidence of an inflammation, or the softening and disappearance of a swelling.