How to subset proof

Question

I don't understand how to prove subsets of a universe by induction. I have only just started learning sets.

 Let B, C be subsets of a universe U.

 Prove that C' - B' = B - C

Thank you, any examples would be highly appreciated.

Your notation is difficult to follow. Perhaps stating in words what B',C' are (sets with particular contents) and what the set operation - is. It may be that once you state the meaning, the proof will become evident. If not then I can certainly help. — hardmath, May 15 '18 at 02:17

score 0 · Accepted Answer · answered May 14 '18 at 03:13

0

Note \begin{align*} x\in C'-B'&\iff x\in C'\cap x\not\in B'\\ &\iff x\not\in C\cap x\in B\\ &\iff x\in B-C. \end{align*}

answered May 14 '18 at 03:13

yurnero

Thank you I understand the logic from your example. – Layken May 14 '18 at 03:14
@Layken Good. Note however what I've written is a proof, not an example. – yurnero May 14 '18 at 03:20

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