Question

prove Cantor's intersection theorem​

Answer 1

$\huge \frak{see \: below \: for \: } \\ \huge \frak{solution}$

To prove the theorem we must show that there is a one-to-one correspondence between A and a subset of powerset(A) but not vice versa. The function f:A→powerset(A) defined by f(a)={a} is one-to-one into powerset(A). Thus cardinality(A) < powerset(A).

Answer 2

answer:-

Answer:

To prove the theorem

• we must show that there is a one-to-one correspondence between A and a subset of power set (A) but not vice versa. The function f : A → power set (A) defined by f(a)={a} is one-to-one into power set (A). Thus cardinality(A) < powerset(A).

add my answer to brainlist