Changes between Initial Version and Version 1 of SigMmt/Templates/RelativeComplementOfTwoClasses

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Timestamp:
06/05/10 16:40:24 (12 years ago)
Author:
onnopaap (IP: 84.104.92.156)
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  • SigMmt/Templates/RelativeComplementOfTwoClasses

    v0 v1  
     1=== Base Template !RelativeComplementOf2Classes === 
     2 
     3[[br]]!RelativeComplementOf2Classes is a template for expressing that a class is the relative complement of two classes.  
     4[[br]] 
     5[[br]]!RelativeComplementOf2Classes(a, b, c) means that c is the relative complement of a and b.  
     6[[br]] 
     7[[br]]Roles:  
     8[[br]]1 hasClass1 Class  
     9[[br]]2 hasClass2 Class  
     10[[br]]3 hasClassRelativeComplement Class  
     11 
     12Axiom:  
     13{{{ 
     14RelativeComplementOf2Classes(x1, x2, x3) <->  
     15Class(x1) &  
     16Class(x2) &  
     17Class(x3) &  
     18exists y(DifferenceOf2Classes(x1, x2, y) &  
     19IntersectionOf2Classes(x1, y, x3)) .  
     20}}} 
     21 
     22NOTE The relative complement of two classes a and b is commonly written anb. See 8.3 for further information on the representation used in this template.  
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