Difference between revisions of "Iff"

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In order to prove a statement of the form, "A iff B," it is necessary to prove two distinct implications: that A implies B ("if A then B") and that B implies A ("if B then A").   
 
In order to prove a statement of the form, "A iff B," it is necessary to prove two distinct implications: that A implies B ("if A then B") and that B implies A ("if B then A").   
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If a statement is an "iff" statement, then it is a [[biconditional]] statement.
  
 
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[[Category:Definition]]
 
[[Category:Definition]]

Revision as of 21:00, 1 November 2006

Iff is an abbreviation for the phrase "if and only if."

In order to prove a statement of the form, "A iff B," it is necessary to prove two distinct implications: that A implies B ("if A then B") and that B implies A ("if B then A").

If a statement is an "iff" statement, then it is a biconditional statement.

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