For all sets \( \mathrm{A}, \mathrm{B} \) and \( \mathrm{C} \), if ...

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For all sets \( \mathrm{A}, \mathrm{B} \) and \( \mathrm{C} \), if \( \mathrm{A} \subset \mathrm{B} \), then \( \mathrm{A} \cup \mathrm{C} \subset \mathrm{B} \cup \mathrm{C} \).
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