Question: Let f: B1 B2 be an isomorphism of Boolean algebras. Prove each of the following: (a) f(0) = 0. (b) f(1) = 1. (c)

Let f: B1 → B2 be an isomorphism of Boolean algebras. Prove each of the following:
(a) f(0) = 0.
(b) f(1) = 1.
(c) If x, y ∈ B1 with x ≤ y, then in B2, f(x) ≤ f(y).
(d) If x is an atom of B1, then f(x) is an atom in B2.

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