Assignment:
Let X and Y be non-empty sets. If A1 and A2 are subsets of X , and B1 and B2 subsets of Y.
Show that (A1 x B1)∩(A2 x B2) = (A1∩A2) x (B1∩B2).
Provide complete and step by step solution for the question and show calculations and use formulas.