Question: Let (B, +, , , 0, 1) be a Boolean algebra that is partially ordered by . If w, x, y, z B with

Let (B, +, ∙, ¯, 0, 1) be a Boolean algebra that is partially ordered by ≤. If w, x, y, z ∈ B with w ≤ x and y ≤ z, prove that
(a) wy ≤ xy; and
(b) w + y ≤ x + z.

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