Show that $(A\setminus B) \cup (A\setminus C) = B \Leftrightarrow A=B \wedge (B \cap C) = \emptyset$
102917
Proving statement - $(A \setminus B) \cup (A \setminus C) = B\Leftrightarrow A=B , C\cap B=\varnothing$
19457
Show that: $\inf(A+B) = \inf(A)+ \inf(B)$
5132
Given $A\cap \overline{B}\neq \emptyset$, prove $A\cup B$ connected.
125008
Define a bijection between $Z^{X \cup Y}$ and $Z^X \times Z^Y$, where $X, Y \in \mathcal{P}(\Omega) $ and $X \cap Y = \emptyset$
43310
Proving $A\cap(B-C)$ is equal to $(A\cap B)-(A\cap C)$
70278
$A\subseteq B\to C\setminus B\subseteq C\setminus A\,$ -- how to prove this?
123613
Double Complement of a set proof
143979
How can I prove that $|A| + |B| = |A\cup B| + |A\cap B|$?
75604
Proof that $\partial(A\times B) = ((\partial A)\times B)\cup (A\times(\partial B))$
52135
Show that $A \setminus ( B \setminus C ) \equiv ( A \setminus B) \cup ( A \cap C )$
14215
Show that the union $\bigcup A_n$ has empty interior in $X$
95935
Prove A = $(A \cap B) \cup (A \cap B^c)$ using the distributive and associative law.
139841
Proving $A\setminus(B\setminus C)$ is not equal to $(A\setminus B)\setminus C$
39455
Prove that $(X\times Y)\setminus (A\times B)$ is connected
67709
Stuck with proof for $\forall A\forall B(\mathcal{P}(A)\cup\mathcal{P}(B)=\mathcal{P}(A\cup B)\rightarrow A\subseteq B \vee B\subseteq A)$
13167
Prove $A = (A \setminus B) \cup (A \cap B)$
107383
Derived sets - prove $(A \cup B)' = A' \cup B'$