Described by Tim Reynish as a "a bright breezy minimalist overture which is really good fun," the fanfare begins with an emphatic trumpet theme around which are built a trombone countermelody and strident woodwind arabesques. This is followed by an ascending theme in the lowest instruments of the ensemble. The arabesques then return, and the piece closes with highly condensed versions of these previous ideas. Quod Erat Demonstrandum was commissioned by Michael Golemo and the Iowa State University Wind Ensemble and premiered at the CBDNA north central region conference in 2016.