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biconditional

[bahy-kuh n-dish-uh-nl]
adjective Logic.
  1. (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.”
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Origin of biconditional

First recorded in 1935–40; bi-1 + conditional
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018
British Dictionary definitions for biconditional

biconditional

noun
  1. another name for equivalence (def. 2)
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Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012