Same Law - Doitsuho

Japanese: 同一法 - どういつほう

〘noun〙① The same method. The same way. ② One of the methods of proof in mathematics. It uses the following principle. When the proposition "Anything that has property A necessarily has property B" is true, if there is only one thing that has property B, then the proposition "Anything that has property B necessarily has property A" is also true. In the above situation, the thing that has property A and the thing that has property B are the same and unique thing. [English-Japanese Dictionary of Mathematical Terms (1889)] ③ (also "douippo") = douitsubo (principle of identity) [Detailed Explanation of Educational, Psychological, and Logic Terms (1885)]

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

Japanese:

〘名〙① 同じ方法。同じやり方。② 数学における証明法の一つ。次の原理を利用するもの。「性質Ａをもつものは必ず性質Ｂをもつ」という命題が正しいとき、もし性質Ｂをもつものがただ一つしかないならば、「性質Ｂをもつものは必ず性質Ａをもつ」という命題もまた正しい。右のような状況下では、性質Ａをもつものと性質Ｂをもつものとは、同一のただ一つのものであるところからいう。〔数学ニ用ヰル辞ノ英和対訳字書（1889）〕③ (「どういっぽう」とも) ＝どういつげんり（同一原理）〔教育・心理・論理術語詳解（1885）〕

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