I have been working on this proof for quite some time now can someone give me some pointers?
Prove: If A is a subset of B and B intersected with C= empty set then A intersected with C= empty set.
I know that if somehow I can prove that A intersected with B= empty set then I can use the laws of transitivity to come to prove my proof. I also know that if B intersected with C = empty set that means both B AND C are empty and contain no elements. If 'all the members' of A are in B and B= empty set then A= empty set as well.
Can someone help me piece this together please?