論ろん証しょう

noun, noun or participle which takes 'suru', transitive verb

proof; demonstration; argumentation

Used in logic, mathematics, law, and academic writing for the process of proving a proposition through reasoning. As a suru-verb, it means 'to prove' or 'to demonstrate'.

• 彼かれはその定てい理りを論ろん証しょうした。

  He proved the theorem.

• この論ろん文ぶんでは、仮か説せつの論ろん証しょうを試こころみる。

  In this paper, we attempt a demonstration of the hypothesis.