Difference between revisions of "Iff"
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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 mathematical notation, "iff" is expressed as <math>\iff</math>. | ||
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| + | If a statement is an "iff" statement, then it is a [[conditional|biconditional]] statement. | ||
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| + | ==Example== | ||
In order to prove a statement of the form, "<math>p</math> iff <math>q</math>," it is necessary to prove two distinct implications: | In order to prove a statement of the form, "<math>p</math> iff <math>q</math>," it is necessary to prove two distinct implications: | ||
* <math>p</math> implies <math>q</math> ("if <math>p</math>, then <math>q</math>") | * <math>p</math> implies <math>q</math> ("if <math>p</math>, then <math>q</math>") | ||
* <math>q</math> implies <math>p</math> ("if <math>q</math>, then <math>p</math>") | * <math>q</math> implies <math>p</math> ("if <math>q</math>, then <math>p</math>") | ||
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==See Also== | ==See Also== | ||
Revision as of 12:35, 26 January 2013
Iff is an abbreviation for the phrase "if and only if."
In mathematical notation, "iff" is expressed as 
.
If a statement is an "iff" statement, then it is a biconditional statement.
Example
In order to prove a statement of the form, "
iff 
," it is necessary to prove two distinct implications:
implies 
("if , then ")- implies ("if , then ")
See Also
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