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In order to detect if a variant is normalized, we first prove the following lemma (1).
 
In order to detect if a variant is normalized, we first prove the following lemma (1).
   −
     Each allele ends with the same nucleotide if and only if it is not left aligned or not right parsimonious.
+
     Each allele ends with the same nucleotide if and only if  
 +
    it is not left aligned or not right parsimonious.
    
For the => direction, we prove the contrapositive :  
 
For the => direction, we prove the contrapositive :  
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