Prove that $X \times Y \times Z = X \times (Y \times Z) = (X \times Y) \times Z$.
38428
How tot start proving $A \times B \times C \ne (A \times B) \times C$?
31196
Prove $\binom{n}{a}\binom{n-a}{b-a} = \binom{n}{b}\binom{b}{a}$
85239
Proof $dim(W)=dim(V)=n \implies W=V$
151038
How to prove (A v B), (A → C), (B → D) therefore (C v D)
30583
If $a\mid b$ and $b\mid a$, $a,b\in R$, show that $\exists w \in R^\times$ with $b=wa$
121853
$X$,$Y$,$Z$ mutually independent implies $X+Y$ independent of $Z$
55016
Prove that if ($d(x,y)=0$ iff $x=y$) and if $d(x,z)\leq d(x,y)+d(z,y)$ then $d$ is a metric
73174
Prove $KN\cong K\times N$ if $K\cap N=\{e\}$
86034
Is it true that for algebraic sets $V,W$ we have $I(V \times W ) =I(V) + I(W)$?
74713
Show that for any natural numbers, if $S(x)=S(y)$ then $x=y$.
50939
If $A$ and $B$ are nonempty sets, prove that $A \times B = B \times A$ if and only if $A = B$
62566
Does $X\times S^1\cong Y\times S^1$ imply that $X\times\mathbb R\cong Y\times\mathbb R$?
6161
The cartesian product $\mathbb{N} \times \mathbb{N}$ is countable
133480
new addition and new multiplication x ⊕ y = x + y − 1, x ⊗ y = x + y − xy on set Z, prove the set Z equipped with these 2 new operation
116866
$A\times B$ connected component implies $A,B$ connect components
112933
Show that $Z\times Z$ is not cyclic...
145397
How to prove that for every $i$, $a_i = i$