$x^n < y^n$ implies $x < y$ proof
97411
If $x^n=y^n$ and $n$ is odd then $x=y$
12083
How to prove $\limsup (x_{n}+y_{n})=\lim x_{n}+\limsup y_{n}$?
8609
Prove by induction that $n!>2^n$
157733
Are positive real numbers $x,y$ allowed to be taken out during this proof?
127400
Prove that ∀ n ∈ {n | n ∈ ℕ ∧ n > 7}: n = x*3 + y*5
140409
Prove that $\sqrt{n} > \ln n$
158569
Proving a particular subset of $R^n$ is closed
85239
Proof $dim(W)=dim(V)=n \implies W=V$
49372
$x+1/x$ an integer implies $x^n+1/x^n$ an integer
100726
Prove that the set of powers of a set, $\{ A^n : n \in \mathbb{N} \}$ exists by using ZFC axioms (without replacement).
26302
Prove that $(X \cap Y) \cup Z = (X \cup Z) \cap (Y \cup Z)$
149758
How to prove $\log n < n$?
36602
$a^m=b^m$ and $a^n=b^n$ imply $a=b$
2455
Prove that $\left(\sum^n_{k=1}x_k\right)\left(\sum^n_{k=1}y_k\right)\geq n^2$
128108
$Y=\prod_{n\in\mathbb{N}}X$.
92975
Does $a^n \mid b^n$ imply $a\mid b$?
129584
How prove $E|X|^p<\infty$ and $E|Y|^p<\infty$, if $E|X+Y|^p<\infty$