noun, noun which may take the genitive case particle 'no'
equivalence; logical equivalence
Technical term in logic and mathematics for two statements or expressions having the same truth value or meaning. Often used in contexts like 同値関係 (equivalence relation) or 同値変形 (equivalent transformation).
この二つの命題は同値である。
These two propositions are logically equivalent.
同値関係は数学の基本的な概念の一つだ。
Equivalence relations are one of the fundamental concepts in mathematics.