I have this problem, i'm not quite sure how to go about proving it. If anyone could point something helpful out or ideas, that would be great.

Prove: (AxB)∩(CxD)=(A∩C)x(B∩D)

Thanks.

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- Feb 19th 2013, 12:59 AMzachoonProof involving sets, crossproducts, and intersections
I have this problem, i'm not quite sure how to go about proving it. If anyone could point something helpful out or ideas, that would be great.

Prove: (AxB)∩(CxD)=(A∩C)x(B∩D)

Thanks. - Feb 19th 2013, 01:36 AMSironRe: Proof involving sets, crossproducts, and intersections
Prove two inclusions.

1.

Let then . Let then we have , thus and . Hence .

2. Prove the other inclusion ...