demonstrate

(verb) give an exhibition of to an interested audience. Synonyms: show, demo, exhibit, present. Examples: "She shows her dogs frequently." "We will demo the new software in washington."

(verb) establish the validity of something, as by an example, explanation or experiment. Synonyms: prove, establish, show, shew. Examples: "The experiment demonstrated the instability of the compound." "The mathematician showed the validity of the conjecture."

(verb) provide evidence for; stand as proof of; show by one's behavior, attitude, or external attributes. Synonyms: attest, certify, manifest, evidence. Examples: "His high fever attested to his illness." "The buildings in rome manifest a high level of architectural sophistication." "This decision demonstrates his sense of fairness."

(verb) march in protest; take part in a demonstration. Synonyms: march. Example: "Thousands demonstrated against globalization during the meeting of the most powerful economic nations in seattle."