demonstrate

verb

1. (transitive)To show how to use (something).

   “Can you demonstrate the new tools for us?”

   “In this tape, a velvet-voiced narrator provides a stroke-by-stroke guide to massaging your partner. As she speaks, comely nude couples demonstrate.”

2. To show the steps taken to create a logical argument or equation.
3. (intransitive)To participate in or organize a demonstration.

   “Those people outside are demonstrating against the election results.”

4. (transitive)To show, display, or present; to prove or make evident

   “The debate was not long on policy, as questions about the Affordable Care Act and the war in Syria demonstrated.”

   “"What we are trying to demonstrate is that freight lines at lower speeds can be electrified much more cheaply. […]"”