Prove for sets $A,B,C$ that $A\times (B\setminus C) = A\times B \setminus A\times C$
120094
Prove, that for any A, B, C sets, $A\times (B\setminus C) = (A\times B)\setminus (A\times C)$ is true.
30583
If $a\mid b$ and $b\mid a$, $a,b\in R$, show that $\exists w \in R^\times$ with $b=wa$
140446
Prove that $A \smallsetminus (A \smallsetminus B) = A \cap B$
25553
elementary set theory (cartesian product and symmetric difference proof)
7416
Let $ A $, $ B $ and $ C $ be sets. If $ A \cup B = A \cup C $ and $ A \cap B = A \cap C $, then show that $ B = C $.
51321
Prove that $A = B = C = D$
104274
Express $C$ interms of the sets $A_n$
109710
Bijection between $\mathbb N \times \mathbb N$ and $\mathbb N$
39708
Proving $(A\le B)\vee (B\le A)$ for sets $A$ and $B$
144266
set theory proof of $A\cap B = A \setminus(A\setminus B)$
68258
Let $A,B,C$ be sets, and $B \cap C=\emptyset$. Show $|A^{B \cup C}|=|A^B \times A^C|$
75604
Proof that $\partial(A\times B) = ((\partial A)\times B)\cup (A\times(\partial B))$
158355
If $A$ commutes with $B$ and $B$ commutes with $C$, then $A$ commutes with $C$
61666
Proving $ [(\vec{a}+\vec{b})\times(\vec{b}+\vec{c})]\cdot(\vec{c}+\vec{a})=2\vec{c}\cdot(\vec{b}\times\vec{a})$
148668
How to show $A\times (B\cup C) = (A\times B)\cup (A\times C)$
80876
Proof of $A\cap(B\cup C) = (A\cap B)\cup(A\cap C)$
107383
Derived sets - prove $(A \cup B)' = A' \cup B'$