- #1

Terrell

- 317

- 26

## Homework Statement

B ∈ {P (A) | A ∈ F}. where P(A) is the power set of A and F is Family

## Homework Equations

N/A

## The Attempt at a Solution

My interpretation:

A: an element of the Family of sets. Hence, A is a set.

P(A): the set of all the possible unique subsets of A.

B: an element of the set of subsets of A, P(A). Thus, B⊆A.

∀x[x∈B → x∈A]

correct interpretation: ∃A ∈ F ∀x(x ∈ B ↔ ∀y(y ∈ x → y ∈ A))

i do not understand how that came to be and why my interpretation is wrong.