Prove A \ (A ∩ B) = (A ∪ B) \ B
123890
Show $A\setminus (A\cap B)=(A\cup B)\setminus B$
144266
set theory proof of $A\cap B = A \setminus(A\setminus B)$
118981
Proving $\sqrt{ab} = \sqrt a\sqrt b$
80009
Prove that $| |a|-|b| | \le |a-b|$
46240
Show that if $A$ and $B$ are sets, then $(A\cap B) \cup (A\cap \overline{B})=A$.
106564
Suppose $A,B,C$ are sets. Prove that $A\mathbin\triangle B\subseteq C \iff A\cup C=B\cup C$.
103441
Proving $(A\cup B)\cap(B\cup C)\cap(C\cup A)=(A\cap B)\cup (A\cap C)\cup (B\cap C)$?
81618
Prove $||a|-|b| | \leq |a-b|$
83714
$A \in B$ vs. $A \subset B$ for proofs
83518
Proving Two sets have same cardinality
60707
Show that if $ \ A \cup B = A$ and $ \ A\cap B = A$ then $ \ A = B$
132971
Prove that $|a| < b \iff -b<a<b$
17363
Prove that the intersection of two equivalence relations is an equivalence relation.
138199
Proof explanation $A\setminus B = A \setminus B \cap A$
46286
Prove if $a\mid b$ and $b\mid a$, then $|a|=|b|$ , $a, b$ are integers.
52135
Show that $A \setminus ( B \setminus C ) \equiv ( A \setminus B) \cup ( A \cap C )$
68258
Let $A,B,C$ be sets, and $B \cap C=\emptyset$. Show $|A^{B \cup C}|=|A^B \times A^C|$