Proof of $A=(A\cap B)\cup (A-B)$ using the laws of set algebra.
13167
Prove $A = (A \setminus B) \cup (A \cap B)$
123613
Double Complement of a set proof
150738
Proof of $(A - B) - C = A - (B \cup C)$
59813
Prove that for all sets A and B, A ∩ B = ∅ implies ( A ∪ B ) - B = A
63148
Power Set Difference Proof P(A-B)=P(A)-P(B)
50939
If $A$ and $B$ are nonempty sets, prove that $A \times B = B \times A$ if and only if $A = B$
68258
Let $A,B,C$ be sets, and $B \cap C=\emptyset$. Show $|A^{B \cup C}|=|A^B \times A^C|$
152817
Proving $\sup B=\inf A$
63535
Prove that if $A – C = B – C$ and $A\cap C = B\cap C$ then $A = B$
49578
Proving $a\mathbb{Z}\cap b\mathbb{Z}=[a,b]\mathbb{Z}$
5132
Given $A\cap \overline{B}\neq \emptyset$, prove $A\cup B$ connected.
145058
Prove $ (A \cup B) \cap C$ = $(A \cap C) \cup (B \cap C) $
118239
If $A, B, C$ are sets prove that $(A\setminus B)\setminus C\subseteq A\setminus(B\setminus C)$
109745
If $(a,k)=(b,m)=1$, prove that $(ab,km)=(a,m)(b,k)$.
64586
How to prove that $\neg((A\cap B)\cup (\neg A \cap C)) = (A\cap\neg B)\cup (\neg A\cap \neg C)$
115606
Proofs involving $ (A\setminus B) \cup (A \cap B)$
120094
Prove, that for any A, B, C sets, $A\times (B\setminus C) = (A\times B)\setminus (A\times C)$ is true.