Home » Blog » If C is a subset of A and B, then it is a subset of their intersection If C is a subset of A and B, then it is a subset of their intersection by RoRi June 20, 2015 Prove that if and , then . Proof. Let be any element in . Then, since , and since . Therefore, . Hence, .∎ Related
June 30, 2020 at 9:34 am Anonymous says: I am confident you meant to say instead of . Subsequently the proof should look as follows: Let be an element in . Then since , and since . Therefore, . Hence, .
I am confident you meant to say instead of .
Subsequently the proof should look as follows:
Let be an element in . Then since , and since .
Therefore, . Hence, .