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the combination of a conditional statement and its converse
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this is called 'bi-conditional' statement, also known as 'if and only if '
a conditional statement\[A\implies B\](read as: 'If A, then B' or 'A implies B' ) the converse of the statement\[B\implies A\] When both the statement and its converse are necessarily true then \[A\iff B\](we say 'A and B are logically equivalent', or 'A, if and only if B', or just 'A iff B' )
* When both the statement and its converse are both necessarily true, or both necessarily false* then
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