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Definition df-symdif 4042
Description: Define the symmetric difference of two classes. Alternate definitions are dfsymdif2 4050, dfsymdif3 4094 and dfsymdif4 4048. (Contributed by Scott Fenton, 31-Mar-2012.)
Assertion
Ref Expression
df-symdif (𝐴𝐵) = ((𝐴𝐵) ∪ (𝐵𝐴))

Detailed syntax breakdown of Definition df-symdif
StepHypRef Expression
1 cA . . 3 class 𝐴
2 cB . . 3 class 𝐵
31, 2csymdif 4041 . 2 class (𝐴𝐵)
41, 2cdif 3766 . . 3 class (𝐴𝐵)
52, 1cdif 3766 . . 3 class (𝐵𝐴)
64, 5cun 3767 . 2 class ((𝐴𝐵) ∪ (𝐵𝐴))
73, 6wceq 1637 1 wff (𝐴𝐵) = ((𝐴𝐵) ∪ (𝐵𝐴))
Colors of variables: wff setvar class
This definition is referenced by:  symdifcom  4043  symdifeq1  4044  nfsymdif  4046  elsymdif  4047  difsssymdif  4053  dfsymdif3  4094  symdif0  4789  symdifv  4790  symdifid  4791
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