If $ g\left(x\right)\geq f\left(x\right) $ and $ \intop_{a}^{b}g=\intop_{a}^{b}f $ then $ f=g $?
42853
If $f \geq 0$ is continuous and $\int_{a}^{b} f(x) \, dx = 0$, then $f =0$
25713
If $a$ and $b$ commute and $\text{gcd}\left(\text{ord}(a),\text{ord}(b)\right)=1$, then $\text{ord}(ab)=\text{ord}(a)\text{ord}(b)$.
76863
How to show $ \sup \inf g(x,y) \leq \inf \sup g(x,y)$?
14379
Let $H \leq G$. If $G = H H^x$ then $G=H$.
34398
Prove $\left| \int_a^b f(t) dt \right| \leq \int_a^b \left| f(t) \right| dt$
106927
How do I prove $[G:H\cap K]\leq [G:H][G:K]$?
101042
Suppose we have functions $f:A→B$ and $g:B→C$. Prove that if $f$ and $g$ are invertible, then so is $g \circ f$.
84143
Given any function $g(x): \mathbb{R} \rightarrow \mathbb{R}$, find a function $f(x)$ such that $f(f(x)) = g(x)$.
77510
$\sum_{1}^{n}\left ( a_{i}b_{i} \right )\geq \prod_{1}^{n}\left ( a_{i}^{b_{i}} \right )$
137614
$\left|\frac{x}{|x|}-\frac{y}{|y|}\right|\leq |x-y|$, for $|x|, |y|\geq 1$?
154001
$(g\circ f)^{-1}=f^{-1}\circ g^{-1}$
93596
If $H\leq G$ and $[G:H]=2$, then $H$ is normal in $G$.
91085
how to find $|GL_2(F_p)|$
16109
Prove that $ \int _a^b\:f\left(x\right)\:\:dx\:=\:\int _a^b\:f\left(a+b-x\right)\:\:dx $
128790
Prove an integral inequality: $ \left(\int|f|^2dx\right)^2\le 4\left(\int|xf(x)|^2dx\right)\left(\int|f'|^2dx\right) $
104757
If $f \circ g$ is surjective, then f is surjective
77106
If $f$ is continuous and $g$ is integrable on $[a,b]$, with $g(x) \ge 0$ for all $x \in [a,b]$ ...