- #1
cleaf
- 5
- 0
I'm trying to prove the associative law of symmetric difference (AΔ(BΔc) = (AΔB)ΔC ) with other relations of sets.
A naive way is to compare the truth table of two sides. However, I think the symmetric difference is not a basic one, it is constructed form other relations, that is AΔB = (A\B)∪(B\A). Is it possible to prove the associative law from other relations (i.e. ∩,∪,\ )?
A naive way is to compare the truth table of two sides. However, I think the symmetric difference is not a basic one, it is constructed form other relations, that is AΔB = (A\B)∪(B\A). Is it possible to prove the associative law from other relations (i.e. ∩,∪,\ )?