Prove that $B = (A \cap B) \cup (A' \cap B)$.
95935
Prove A = $(A \cap B) \cup (A \cap B^c)$ using the distributive and associative law.
52323
Maps - question about $f(A \cup B)=f(A) \cup f(B)$ and $ f(A \cap B)=f(A) \cap f(B)$
88982
Prove that for any two sets $A$ and $B$, $A\notin B$ or $B\notin A$
80892
Does $\wp(A \cap B) = \wp(A) \cap \wp(B)$ hold? How to prove it?
49578
Proving $a\mathbb{Z}\cap b\mathbb{Z}=[a,b]\mathbb{Z}$
67709
Stuck with proof for $\forall A\forall B(\mathcal{P}(A)\cup\mathcal{P}(B)=\mathcal{P}(A\cup B)\rightarrow A\subseteq B \vee B\subseteq A)$
90434
Prove for every two sets $A$ and $B$ that $A-B$, ${B-A}$ and $A \cap B$ are pairwise disjoint.
75863
how to prove $f^{-1}(B_1 \cap B_2) = f^{-1}(B_1) \cap f^{-1}(B_2)$
68918
Show that $A\cap B\subseteq A$ and $A\subseteq A\cup B$
102917
Proving statement - $(A \setminus B) \cup (A \setminus C) = B\Leftrightarrow A=B , C\cap B=\varnothing$
52787
If $\bigcup F = A$ then $A\in F$ then prove that $A$ has exactly one element
150738
Proof of $(A - B) - C = A - (B \cup C)$
151852
How to prove $A \subset B \iff A \cup B = B$
103441
Proving $(A\cup B)\cap(B\cup C)\cap(C\cup A)=(A\cap B)\cup (A\cap C)\cup (B\cap C)$?
13167
Prove $A = (A \setminus B) \cup (A \cap B)$
21737
If $A|B$ and $B|A$ then prove $A=\pm B$
14162
How can I prove $\sup(A+B)=\sup A+\sup B$ if $A+B=\{a+b\mid a\in A, b\in B\}$