Art of Problem Solving

Iff: Difference between revisions

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'''Iff''' is an abbreviation for the phrase "if and only if."
'''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 and that B implies 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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[[Category:Definition]]
[[Category:Definition]]

Revision as of 09:30, 7 July 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").

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