Equivalent

Japanese: 同値 - どうち

〘Noun〙① The state in which two mathematical propositions express the same content. Equivalence. Equivalence. [English-Japanese Dictionary of Mathematical Dictionary (1889)]② When an equivalence relation is given on a set, two elements of that set are in that relationship. In other words, when an equivalence relation is given on set A, and a～b holds between elements a and b of A, then a and b are said to be equivalent. ③ ⇒How about (equivalent)

Do-ne [equivalent]

〘 noun 〙 The same. The same price. Douchi. ※Kabuki: Chushingura Annual Events (1877) New Year's Day "If it's the same price as sushi made from fish meat, it's going to be a bit pricey."

Source: The Selected Edition of the Japanese Language Dictionary About the Selected Edition of the Japanese Language Dictionary Information

Japanese:

〘名〙① 二つの数学的命題が同一の内容を言い表わしていること。同等。等値。等価。〔数学ニ用ヰル辞ノ英和対訳字書（1889）〕② 集合の上に一つの同値関係が与えられているとき、その集合の二つの要素がその関係にあること。すなわち、集合Ａの上に同値関係が与えられているとき、Ａの要素ａ、ｂの間に a～b が成り立つとき、ａとｂとは同値であるという。③ ⇒どうね（同値）