Question: For a Boolean algebra R the relation on B, defined by x y if xy = x, was shown to be a partial

For a Boolean algebra R the relation "≤" on B, defined by x ≤ y if xy = x, was shown to be a partial order. Prove that:
(a) If x ≤ y then x + y = y; and
(b) If x ≤ y then ≤ .

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