Show that $P(X \ge r ) = P (Y \le p)$
25182
Relationship between Binomial and Beta distributions
84437
Prove that the projection $p_i$ from the product space $X_I S_i \tau$ into $S_i \tau_i$ is open for each $i \in I$
26658
A proof for $\nabla |u|^p = p\ \text{sgn}(u)|u|^{p-1}\nabla u$.
39708
Proving $(A\le B)\vee (B\le A)$ for sets $A$ and $B$
109109
Show that $E(XE[X|G])=E[(E[X|G)^2]$
107058
Prove that $E(X\ln X)\le E X E\ln X$
79165
How to show that $P(A\cup B) = P(A) + P(B) - P(A\cap B)$
138931
Show that $||x+y||\cdot||x-y||\le||x||^2+||y||^2$
14448
Elementary proof that $|x|^p$ is convex.
156901
Showing that $X\sim E[X\mid\mathcal{G}]$ implies $X=E[X\mid\mathcal{G}]$ almost surely
136427
Given $∃y.∀x.p(x,y)$, use the Fitch system to prove $∀x.∃y.p(x,y)$
92569
Showing that ${\rm E}[X]=\sum_{k=0}^\infty P(X>k)$ for a discrete random variable
144382
Proving $\lVert x \rVert_3$ is smaller than euclidean norm
134696
How can I show that the conditional expectation $E(X\mid X)=X$?
78754
Showing that $E[X|X<x]$ is smaller or equal than $E[X]$ for all x
62755
The simplest way of proving that $|\mathcal{P}(\mathbb{N})| = |\mathbb{R}| = c$
125209
Prove $e^x - e^y \leq e |x-y|$ for $x$ belonging to $[0,1]$