Question: Cartesian elimination. Please prove the statement AND explain the difference if A is empty. my main question is how do I, once I convert the

Cartesian elimination. Please prove the statement AND explain the difference if A is empty. my main question is how do I, once I convert the equation to (a in A and b in B)=(a in A and b in B), remove the a in A from both sides? I'm not sure what the proper justification for that is.
4. Cartesian Elimination (15 points) Let A, B, and C be non-empty sets. Prove that (A x B= AXC) B=C. What happens if A is empty
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