antisymmetric
adjective
                                                                                                                            
                                                            an·ti·sym·met·ric
                    
                                                                                                              
                                                                                                                                  ˌan-tē-sə-ˈme-trik  
                                                                                                                              
            ˌan-ˌtī-
                                                      
                                                          
                                
              
          
                                                      : relating to or being a relation (such as "is a subset of") that implies equality of any two quantities for which it holds in both directions                                      
              
                             
the relation R is antisymmetric if aRb and bRa implies a = b
                         
                
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  Merriam-Webster unabridged




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