- #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.