noun
mathematical induction
A method of mathematical proof typically used to establish that a given statement is true for all natural numbers.
数学的帰納法を使って、その式がすべての自然数で成り立つことを証明した。
Using mathematical induction, I proved that the formula holds for all natural numbers.
Compound of 数学的 (mathematical) + 帰納法 (induction method).