本 Summit 1B - ユニット 7 - レッスン 4

to make a person do something through reasoning or other methods

言い聞かせる

to publicly state that one supports or approves someone or something

誰かや何かをサポートする

to move to a higher position or rank

昇進する

to suggest without explicitly stating

to show that something is true through the use of evidence or facts

何かを証明する