if and only if


a term used by mathematicians and logicians to indicate that something happens under very specific conditions. often seen in proofs and theories.
1) the sum a geometric sequence is given by a/(1-r) if and only if |r| < 1. 2) in a bar: dumped guy: "my girlfriend left me because i told her i loved her!" other guy: "what a b-tch!" dumped guy: "no, it's all my fault, she's a mathematician, and i should have said 'i love you and only you'".

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