Proving $A \cap (B-A) = \emptyset$ (new to proofs!)
126633
Is a contradiction enough to prove a set equality to $\varnothing$?
34099
Proving that the empty set is unique
28391
Prove the compactness of a set B
49578
Proving $a\mathbb{Z}\cap b\mathbb{Z}=[a,b]\mathbb{Z}$
74311
Proving that the Intersection of any Collection of Compact Sets is Compact
73174
Prove $KN\cong K\times N$ if $K\cap N=\{e\}$
90434
Prove for every two sets $A$ and $B$ that $A-B$, ${B-A}$ and $A \cap B$ are pairwise disjoint.
13167
Prove $A = (A \setminus B) \cup (A \cap B)$
131983
Prove that $A \subset B$ if and only if $A \setminus B = \emptyset$
70307
$(A\cap B)\cup C = A \cap (B\cup C)$ if and only if $C \subset A$
80876
Proof of $A\cap(B\cup C) = (A\cap B)\cup(A\cap C)$
121280
Proving that $a \mathbb{Z} \cap b\mathbb{Z} = \operatorname{lcm}(a,b)\mathbb Z$
103314
Let $\{K_n \}_{n \in \mathbb{N}}$ be a collection of sets, where $K_n = [n, \infty)$. Why is $\bigcap_{n \in \mathbb{N}} K_{n}$ empty?
3072
If the empty set is a subset of every set, why isn't $\{\emptyset,\{a\}\}=\{\{a\}\}$?
157218
If $E\subseteq X$ is connected, $E\cap A\neq\emptyset$ and $E\cap(X\setminus A)\neq\emptyset$ then $E\cap\partial A\neq\emptyset$
79165
How to show that $P(A\cup B) = P(A) + P(B) - P(A\cap B)$
64586
How to prove that $\neg((A\cap B)\cup (\neg A \cap C)) = (A\cap\neg B)\cup (\neg A\cap \neg C)$