To establish the truth or validity of (something) by the presentation of argument or evidence: The novel proves that the essayist can write in more than one genre.

What does it mean to be provable?

: able to be proved a provable mathematical formula Whether or not he was following any such directives may become provable as Moscow files are opened to scholars.—

What is it called when something is summarized?

Some common synonyms of summary are compendious, concise, laconic, pithy, succinct, and terse. While all these words mean "very brief in statement or expression," summary suggests the statement of main points with no elaboration or explanation.