A "Dead Man" is a support of some kind fashioned out of wood usually. Sheetrockers sometimes make them out of 2 X 4's to help support the rock when they apply it to the ceiling.
Hope this helps... for removal, pull the trim to expose the frame, install cleats and do the reverse of what you will see in the video.
“Americans have the right and advantage of being armed, unlike the people of other countries, whose leaders are afraid to trust them with arms.” – James Madison.