Prove or disprove each of the following:
a) For sets A, B, , A ∩ C ⊆ B ∩ C ⇒ A = B.
b) For sets A, B, , A ∪ C ⊆ B ∪ C ⇒ A = B.
c) For sets A, B, , [(A ∩ C = B ∩ C) ^ (A ∪ C = B ∪ C)] ⇒ A = B.
d)For sets, A, B, , A Δ C = B Δ C => A = B.
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