Prove that for all $x$, $x \ne P(x)$, where $P(x)$ is the power set of $x$
25834
Proof a set cannot contain its own powerset - Russell's Paradox
108429
Show that if $x_n \to x$ then $\sqrt{x_n} \to \sqrt{x}$
132532
Things around $(\forall x)(\Psi \Rightarrow \Phi) \Leftrightarrow ((\exists z)\Psi) \Rightarrow \Phi)$
20626
Prove that $x^y < y^x$
28223
Prove/Disprove that if two sets have the same power set then they are the same set
157924
$\forall x\in\mathbb{N}[(\exists y\in\mathbb{N}(2\leq y\land y<x\land y\ |\ x))\to(\exists z\in\mathbb{N}(2\leq z\land z\leq\sqrt x\land z\ |\ x))]$
148451
Polynomial inequality proof
14448
Elementary proof that $|x|^p$ is convex.
26658
A proof for $\nabla |u|^p = p\ \text{sgn}(u)|u|^{p-1}\nabla u$.
111316
PROVE if $x \ge-1 $then $ (1+x)^n \ge 1+nx $ , Every $n \ge 1$
94119
Prove that $xy \leq\frac{x^p}{p} + \frac{y^q}{q}$
110662
Show that $P(\mathbb{N})$ is equivalent to $2^\mathbb{N}$
33011
Prove that the polynomial $f_n(x)=nx^{n+1}-(n+1)x^n+1$ is divisible by $(x-1)^2$
66145
>Prove that $\frac d {dx} x^n=nx^{n-1}$ for all $n \in \mathbb R$.
106767
$|p(z)| \leq M$ for $|z| \leq 1$ Show that $|p(z)| \leq M|z|^n$ for $|z| \geq 1$
137511
Trying to show that $\sup \{b^p:p\in Q,\;0<p<x\} = \inf\{b^q:q\in Q,\;x<q\}$
37951
proof detail concerning bijection between a set and its power set