What term is used to show or prove something clearly?

The term that best captures the idea of showing or proving something clearly is "demonstrate." This word specifically implies a process of providing evidence or examples that unequivocally support a claim or concept, effectively making the information clear and understandable to the audience. In contexts such as essays or presentations, to demonstrate is to show through clear, concrete examples or a systematic breakdown, leading the audience to grasp the argument or statement being presented.

While "emphasize" focuses on giving special importance to something, and "reveal" pertains to making something known that was previously hidden or unknown, these terms do not inherently suggest the act of proving something with clarity. "Convey" generally refers to the act of communicating an idea or feeling, but it lacks the direct implication of proof or demonstration that is central to answering the question at hand. Therefore, "demonstrate" is the most precise term to describe showing or proving something clearly.