Definition df-symdif 3631

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

Step	Hyp	Ref	Expression
1		cA	. . 3 class A
2		cB	. . 3 class B
3	1, 2	csymdif 3630	. 2 class ( A /_\ B )
4	1, 2	cdif 3369	. . 3 class ( A \ B )
5	2, 1	cdif 3369	. . 3 class ( B \ A )
6	4, 5	cun 3370	. 2 class ( ( A \ B ) u. ( B \ A ) )
7	3, 6	wceq 1448	1 wff ( A /_\ B ) = ( ( A \ B ) u. ( B \ A ) )

This definition is referenced by:  symdifcom  3632  symdifeq1  3633  nfsymdif  3635  elsymdif  3636  dfsymdif3  3676  symdif0  4325  symdifv  4326  symdifid  4327