Proving that every Hölder-continuous function with an exponent $\alpha>1$ is constant.
17343
Function on $[a,b]$ that satisfies a Hölder condition of order $\alpha > 1 $ is constant
48867
why all constant functions are continuous.$?$
40208
Locally Constant Functions on Connected Spaces are Constant
35787
An entire function with a bound on its integral is constant
130916
Proving the identity functions is continuous iff $\tau_1\supseteq\tau_2$
134492
Proving that a Hölder space is a Banach space
40297
Proof of uniform limit of Continuous Functions
87239
Prove functions defined by sup and inf are continuous
20359
Proof of radius of convergence exponential function
58664
Proving a function is continuous for a fixed variable
48275
$f$ defined $|f(x) - f(y)| \leq |x - y|^{1+ \alpha}$ Prove that $f$ is a constant.
104044
Prove continuous functions $f$ and $g$ are equal
24683
For i.i.d. $\{X_n\}$ proving $\frac1n\max\limits_{1\leqslant k\leqslant n}|X_k|\xrightarrow{\mathrm{a.s.}}0\Leftrightarrow E(|X_1|)<+∞$
118207
Prove that the product of two continuous functions is continuous
3818
Proving two entire functions are constant.
134752
Proof (epsilon delta) for the continuity of a function at a point
75390
How does one prove that if function's partial derivative respect to every variable is zero, function is constant?