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−  '''Without loss of generality''' is a term used in proofs to indicate that an assumption is being made that does not introduce new restrictions to the problem. For example, in the proof of [[Schur's Inequality]], one can assume that <math>a \ge b \ge c</math> without loss of generality because the inequality is [[symmetric]] in <math>a</math>, <math>b</math> and <math>c</math>. Without loss of generality is often abbreviated '''WLOG''' or '''WOLOG'''. Be sure not to write WLOG when you mean "''with'' loss of generality"!
 
   
   
−  == Example Problems ==
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−  === Introductory Level ===  +  === Advanced Level === 
−  * [[2006_AMC_10B_Problems/Problem_17  2006 AMC 10B Problem 17]]  +  * [[2017_USAJMO_Problems/Problem_3  2017 USAJMO Problem 3]] 
−  * [[2007_AMC_10A_Problems/Problem_19  2007 AMC 10A Problem 19]]
 
−  * [[2006_AMC_12A_Problems/Problem_20  2006 AMC 12A Problem 20]]
 
−  [[Category:Definition]]
 