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biconditionals
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In logic and mathematics, the logical biconditional (sometimes known as the material biconditional) is the logical connective of two statements asserting " * * * * P * * * {\displaystyle P} * if and only if * * * * Q * * * {\displaystyle Q} * ", where * * * * P * * * {\displaystyle P} * is an antecedent and * * * * Q * * * {\displaystyle Q} * is a consequent. This is often abbreviated " * * * * P * * * {\displaystyle P} * iff * * * * Q * * * {\displaystyle Q} * ". The operator is denoted using a doubleheaded arrow (), a prefixed E "Epq" (in ukasiewicz notation or Bocheski notation), an equality sign (=), an equivalence sign (), or EQV. It is logically equivalent to * * * * ( * P * * Q * ) * * ( * Q * * P * ) * * * {\displaystyle (P\rightarrow |