$R$ is UFD, prove that $S^{-1}R$ is UFD
57101
About the localization of a UFD
35564
Prove that $u\cdot v = \frac{1}{4}||u+v||^2 - \frac{1}{4}||u-v||^2 \forall u,v \in \mathbb{R^n}$
66238
Proving $\mathbb{Z}[\sqrt {10}]$ is not a UFD
101371
show that $f^{(3)}(c) \ge 3$ for $c\in(-1,1)$
236
Proof of general Euclid's Lemma in a UFD (by Euclidean algorithm?)
18484
Show that $k[x,y,z]/(xz-y^2)$ is not a UFD.
10859
Prove $\sup(f+g) \le \sup f + \sup g$
87848
Formal proof for $(-1) \times (-1) = 1$
132311
T$\mathbb{S}^{n} \times \mathbb{R}$ is diffeomorphic to $\mathbb{S}^{n}\times \mathbb{R}^{n+1}$
75863
how to prove $f^{-1}(B_1 \cap B_2) = f^{-1}(B_1) \cap f^{-1}(B_2)$
24585
Proving that $\mathbf{W}$+$\mathbf{W^{\perp}}$=$\mathbb{R^{n}}$
13253
Prove $f(S \cup T) = f(S) \cup f(T)$
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| $
25397
Prove $R \times R$ is NOT an integral domain
63526
Proving that $(\sup_{x\in R}|f'(x)|)^2\leq 4\sup_{x\in R}|f(x)|\cdot\sup_{x\in R}|f''(x)|$.
83825
$f^{-1}([-\infty,r))$ measurable for all rational numbers $r$
156727
A step in the proof of Characterization of $W^{1,\infty}$