Solution Found!
Suppose is a family of sets such that for all i, ifthen (Such a family is called a
Chapter 2, Problem 16(choose chapter or problem)
Suppose is a family of sets such that for all i, ifthen (Such a family is called a decreasing nested family of sets.)(a) Prove that for every(b) Prove that
Questions & Answers
QUESTION:
Suppose is a family of sets such that for all i, ifthen (Such a family is called a decreasing nested family of sets.)(a) Prove that for every(b) Prove that
ANSWER:Problem 16
Suppose is a family of sets such that for all , if then (Such a family is called a decreasing nested family of sets.)
(a) Prove that for every
(b) Prove that
Step-by-step solution
Step 1 of 3
Lemma: Let be a non empty family of sets .
If for every then .
If for every then