For any three sets \( \mathrm{A}, \mathrm{B}, \mathrm{C} \) prove t...

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For any three sets \( \mathrm{A}, \mathrm{B}, \mathrm{C} \) prove that :
\[
A \times(B \cup C)=(A \times B) \cup(A \times C) \text {. }
\]
\( \mathrm{P} \)
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