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."
If and only if proofs often contain two parts. The first is the "if" part, which is reletively straightforward. The second is the "only if" part. To prove this, you need to show that the to prove is only satisfied by the given. This is typically more difficult than the "if" part.
 
  
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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 and that B implies 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 and that B implies A.

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