biconditional

[ bahy-kuh n-dish-uh-nl ]
/ ˌbaɪ kənˈdɪʃ ə nl /

adjective Logic.

(of a proposition) asserting that the existence or occurrence of one thing or event depends on, and is dependent on, the existence or occurrence of another, as “A if and only if B.”

Origin of biconditional

First recorded in 1935–40; bi-1 + conditional

British Dictionary definitions for biconditional

biconditional
/ (ˌbaɪkənˈdɪʃənəl) /

noun

another name for equivalence (def. 2)