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Definition df-symdif 25656
Description: Define the symmetric difference of two classes. (Contributed by Scott Fenton, 31-Mar-2012.)
Assertion
Ref Expression
df-symdif  |-  ( A(++) B )  =  ( ( A  \  B
)  u.  ( B 
\  A ) )

Detailed syntax breakdown of Definition df-symdif
StepHypRef Expression
1 cA . . 3  class  A
2 cB . . 3  class  B
31, 2csymdif 25655 . 2  class  ( A(++) B )
41, 2cdif 3310 . . 3  class  ( A 
\  B )
52, 1cdif 3310 . . 3  class  ( B 
\  A )
64, 5cun 3311 . 2  class  ( ( A  \  B )  u.  ( B  \  A ) )
73, 6wceq 1652 1  wff  ( A(++) B )  =  ( ( A  \  B
)  u.  ( B 
\  A ) )
Colors of variables: wff set class
This definition is referenced by:  symdifcom  25657  symdifeq1  25658  nfsymdif  25660  elsymdif  25661  symdif0  25662  symdifV  25663  symdifid  25664
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