How to prove that 𝑃(𝐴) Δ 𝑃(𝐵) ≠ 𝑃(𝐴 Δ 𝐵) for any 2 sets.
43462
Disprove $\mathcal{P}(A\Delta B) \setminus \{\emptyset\} = \mathcal{P}(A) \Delta\mathcal{P}(B) $. Is my proof good?
143735
Prove/Disprove: For any sets $X$ and $Y$, $\overline{X\cap Y} = \bar{X}\cup\bar{Y}$
61747
Proof of exchange principle in set theory
46240
Show that if $A$ and $B$ are sets, then $(A\cap B) \cup (A\cap \overline{B})=A$.
51922
Epsilon Delta Proof: How do I use the definitions to prove
120010
Show that $\aleph_{\alpha}^{\aleph_{1}} = \aleph_{\alpha}^{\aleph_{0}}\cdot 2^{\aleph_1}$
107383
Derived sets - prove $(A \cup B)' = A' \cup B'$
76292
Showing that $f$ is identically $0$ on $\mathbb{D}$
132873
Understanding Epsilon-Delta Proof
60359
Proving that these two sets are denumerable.
29935
If $a, b, c, d>0$ and $abcd=1$ prove that an inequality holds true
19599
$ d(x_n,y_n) \to d(x,y)$ if $x_n\to x$ and $y_n \to y$
29637
$\sigma$-algebra of sets that are both $G_\delta$ and $F_\sigma$
959
Prove that ${{n}\choose{k}} = {{n - 2}\choose{k}} + 2{{n - 2}\choose{k - 1}} + {{n - 2}\choose{k - 2}}$.
135534
Prove that $\lim_{x\to 2}x^2=4$ using $\epsilon-\delta$ definition.
128761
An $\varepsilon-\delta$ proof of $\lim_{x\rightarrow c} (2x^ 2 − 3x + 4) = 2c ^2 − 3c + 4$.
123613
Double Complement of a set proof