Prove $f[X]\backslash f[X']\subset f[X\backslash X']$
1821
Proving $f(C) \setminus f(D) \subseteq f(C \setminus D)$ and disproving equality
143354
Prove that there exists $c\in\mathbb{R}$ such that $f'(c)=f(c)$
36093
Show rigorously that the sum of integrals of $f$ and of its inverse is $bf(b)-af(a)$
89429
Prove $\sup \left| f'\left( x\right) \right| ^{2}\leqslant 4\sup \left| f\left( x\right) \right| \sup \left| f''\left( x\right) \right| $
84301
Showing that some Function on the Unit Disc is injective
64866
Proving a Composition of Functions is Bijective
75614
Proving that $n|m\implies f_n|f_m$
116056
Prove that $|f(x)-f(y)|\le|x-y|$ for all $x$ and $y$.
45710
Finishing a proof: $f$ is injective if and only if it has a left inverse
47856
$f(x)=ax+b$ for some $a,b\in\mathbb{Q}$ if $f(\mathbb{Q})\subset\mathbb{Q}$ and $f(\mathbb{R-Q})\subseteq \mathbb{R}-\mathbb{Q}$
136842
$|x-f(x)|<5777$, Show that $f$ is surjective
70304
Prove there are $\xi$, $\eta$ with $f'(\xi)f'(\eta)=1$
92376
Let $f:A \rightarrow B$ and C ⊂A. Define f[C]={b∈B: b=f(a) for some a∈C}. Prove or disprove each of the statement
132431
Proving $|f'(z)|\leq\frac{\text{Re}(f(z))}{\text{Re}(z)}$
14830
A transformation of F[x]
93102
prove that $f:X\rightarrow Y$ is surjective if and only if $f(f^{-1}(C))=C$
147270
Entire function. Prove that $f(\bar{z})=\overline{f(z)}, \forall z\in C$