Proving the Equality of (A Φ B) Φ (C Φ D) and (A Φ C) Φ (B Φ D)

[majeedh]

this is another problem which i don't know how to start..im not sure which proof i should use to solve this problem
the problem is:
If A,B,C,and D are sets, does it follow
(A Φ B) Φ (C Φ D) = (A Φ C) Φ (B Φ D)
the symbol that is separting the characters is called the oplus symbol, that's the closet symbol i could find
the oplus symbol is a circle with one line going across it and one line going down

 

[HallsofIvy]

Darned if I know because I can't tell what symbol you used! Either write it out in letters or use LaTex.