Suppose (b,∧,V,¬) is a boolean algebra.

1) Define a relation ≤ on B by a ≤ b iff a = a ∧ b.

2) show that a = a ∧ b iff b = a V b

3) Prove that ≤ is a partial order on the set B and that 0≤a≤1 for all a EB

4) What is the relation ≤in the case that B is a boolean algebra (B,intersection,U,compliment) of sets?

thanks in advance