Question: For sets A, B, and C, consider relations R1 A B, R2 B C, and R3 B C. Prove

For sets A, B, and C, consider relations R1 ⊆ A × B, R2 ⊆ B × C, and R3 ⊆ B × C. Prove that
(a) R1 o (R2 ⋃ R3) = (R1 o R2) ⋃ (R1 o R3); and
(b) R1 o (R2 ⋂ R3) ⊆ (R1 o R2) ⋂ (R1 o R3).

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