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Definition df-symdif 4242
Description: Define the symmetric difference of two classes. Alternate definitions are dfsymdif2 4250, dfsymdif3 4296 and dfsymdif4 4248. (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 4241 . 2 class (𝐴𝐵)
41, 2cdif 3945 . . 3 class (𝐴𝐵)
52, 1cdif 3945 . . 3 class (𝐵𝐴)
64, 5cun 3946 . 2 class ((𝐴𝐵) ∪ (𝐵𝐴))
73, 6wceq 1541 1 wff (𝐴𝐵) = ((𝐴𝐵) ∪ (𝐵𝐴))
Colors of variables: wff setvar class
This definition is referenced by:  symdifcom  4243  symdifeq1  4244  nfsymdif  4246  elsymdif  4247  difsssymdif  4252  dfsymdif3  4296  symdif0  5088  symdifv  5089  symdifid  5090
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