New posts in alternative-proof

Why does Rudin define $k = \frac{y^n-x}{n y^{n-1}}$ or $h < \frac{x - y^n}{n(y+1)^{n-1}}$ when he tries to prove that every real x has a nth root?

Is there a simpler proof of this fact in analysis?

Prove $\sum_{n=0}^\infty(-1)^n(\overline{H}_n-\ln2)^2=\frac{\pi^2}{24}$

A triple integral involving $\text{Li}_2$

SOS: Proof of the AM-GM inequality

Geometric proof of a trig identity on $\cos t \cos u\cos v$

Proving that $ \chi(G) = \omega(G) $ if $ \bar{G} $ is bipartite.

Every non-star tree is (isomorphic to) a subgraph of its complement

Uniform Convergence verification for Sequence of functions - NBHM

Prove $\sum_{n=0}^\infty(-1)^n(\overline{H}_n-\ln2)^3=-\frac5{16}\zeta(3)$

Proving (without using complex numbers) that a real polynomial has a quadratic factor

Prove that in a parabola the tangent at one end of a focal chord is parallel to the normal at the other end.

A longer series is better for a better team: Can you see this at a glance?

Proof of the duality of the dominance order on partitions

Construct quadrangle with given angles and perpendicular diagonals

Prove that there exists a sequence $(x_n)$ such that $\sum_n a_n x_n$ diverges

How can I complete this proof by contradiction?

Loch Ness monster and Jacob's Ladder Surfaces are NOT homeomorphic

The multiplicative groups $\mathbb{Q}^\ast$ and $\mathbb{R}^\ast$ are not isomorphic [duplicate]

$e^{i\theta}$ $=$ $\cos \theta + i \sin \theta$, a definition or theorem?