Is red LED proven to reduce dermal fat anywhere in the body or face?

Red Light therapy isn't intended or used for fat loss. Red light therapy is generally used to treat skin related issues, such as wrinkles, scars, and wound healing. I suggest discussing the benefits of Red Light therapy with your physician. Best, Dr. Emer. 

LED light treatments are not for removing fat.The technology for LED Light Therapy (or Light Emitting Diode Therapy) was originally created by NASA years ago as a way of growing plants in space. Today, LED Light Therapy is a light treatment that can be used to stimulate collagen production (reducing fine lines and wrinkles) and kill acne-causing bacteria on the skin, improving skin clarity—with no pain and no downtime.
LED Light Therapy works by triggering the body to convert light energy into cell energy—without heat.
Red light therapy: Activates collagen production to improve the visible signs of aging, to restore glowing, healthy-looking skin. It can also be used to reduce age spots, sun damage, and overall redness, flushing, and dilated capillaries. Red light therapy can also reduce the appearance of bruising and reduce healing time. Results are often immediate.

You are confusing Red LED with Cold Red Laser. The latter, when combined in the proper machine, can melt fat and allow one to lose significant inches in multiple places. There are 2 machines now that do this. The oldest and most established is Zerona. You should not lose fat from the Red LED treatments.