Is it true , if $|A|=|B|$ and $|C|=|D|$, then $|A \times C| = |B \times D|$?
113211
Arithmetics of cardinalities: if $|A|=|C|$ and $|B|=|D|$ then $|A\times B|=|D\times C|$
31391
bijection between $\mathbb{N}$ and $\mathbb{N}\times\mathbb{N}$
38428
How tot start proving $A \times B \times C \ne (A \times B) \times C$?
83996
For any two sets $A,B$ , $|A|\leq|B|$ or $|B|\leq|A|$
66563
Is $ (A∪B)×(C∩D)=(A∪C)×(B∪D)$ true for all sets A,B,C and D?
2208
$\gcd(a,b,c)=\gcd(\gcd(a,b),c)\,$ [GCD Associative Law]
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
140103
If product of two sets $A\times B$ is closed, are $A$ and $B$ closed?
154698
Union of Cartesian products: $X \times (Y \cup Z)= (X \times Y) \cup(X\times Z)$
142028
If $\vec{a},\vec{b},\vec{c},\vec{d}$are unit vectors, $(\vec{a}\times\vec{b}).(\vec{c}\times\vec{d})=1$ and $\vec{a}.\vec{c}=\frac{1}{2}$,then
158355
If $A$ commutes with $B$ and $B$ commutes with $C$, then $A$ commutes with $C$
149553
Is it always true that $(A_1 \cup A_2) \times (B_1 \cup B_2)=(A_1\times B_1) \cup (A_2 \times B_2)$
108084
Is it always true? $\left|A-B\right| \le \left|A\right| + \left|B\right|$
2289
Prove that if $\gcd( a, b ) = 1$ then $\gcd( ac, b ) = \gcd( c, b ) $
148668
How to show $A\times (B\cup C) = (A\times B)\cup (A\times C)$
62566
Does $X\times S^1\cong Y\times S^1$ imply that $X\times\mathbb R\cong Y\times\mathbb R$?
145719
Similarity between $A$ and $B (2\times 2)$.