2) Let K be any Boolean algebra. A useful relation y (read as "x precedes y" ) if and only if xy=x. x ii) iii) a) If K is the Boolean Algebra of subsets of a set S, to what familiar relation on the subsets of S does Correspond? Refer to example 7.1 in page 348 in the textbook b) Use the axioms and laws of Boolean algebra to prove the following properties of arbitrary Boolean algebra K. Make sure that when you use the axioms or laws, write that down in the proof xx for all x E K (Reflexive property) can be defined as the elements of K as follows: If xy andy x, then x=y (Antisymmetric property) If x y and y z, then x z (Transitive property) in an

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