Let A, B and C be sets. Prove that $A \times (B-C) = (A \times B) - (A \times C)$
64656
how do you prove that $A\times (B\setminus C) = (A\times B) \setminus (A\times C)$?
59813
Prove that for all sets A and B, A ∩ B = ∅ implies ( A ∪ B ) - B = A
13167
Prove $A = (A \setminus B) \cup (A \cap B)$
149553
Is it always true that $(A_1 \cup A_2) \times (B_1 \cup B_2)=(A_1\times B_1) \cup (A_2 \times B_2)$
106564
Suppose $A,B,C$ are sets. Prove that $A\mathbin\triangle B\subseteq C \iff A\cup C=B\cup C$.
150166
What is $P([a_1,b_1]\times [a_2,b_2]\times...\times[a_k,b_k])$
20736
Prove the relation $R$ in $N \times N$ defined by $(a,b) \simeq (c,d)$ iff $ad=bc$ is an equivalence relation.
140440
Proving $(A\times C)\cup(B\times D)\subseteq(A\cup B)\times(C\cup D)$
21726
Show that if $(b,c)=1$, then $(a,bc)=(a,b)(a,c)$.
86034
Is it true that for algebraic sets $V,W$ we have $I(V \times W ) =I(V) + I(W)$?
139841
Proving $A\setminus(B\setminus C)$ is not equal to $(A\setminus B)\setminus C$
154698
Union of Cartesian products: $X \times (Y \cup Z)= (X \times Y) \cup(X\times Z)$
77859
Prove or find a counter example to the claim that for all sets A,B,C if A ∩ B = B ∩ C = A ∩ C = Ø then A∩B∩C ≠ Ø
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})$
50939
If $A$ and $B$ are nonempty sets, prove that $A \times B = B \times A$ if and only if $A = B$
6161
The cartesian product $\mathbb{N} \times \mathbb{N}$ is countable
109219
How do the sets $\emptyset\times B,\ A\ \times \emptyset, \ \emptyset \times \emptyset $ look like?