Natural proof of identity for $\text{Li}_2(x)+\text{Li}_2(1-x)$
18518
Proof of dilogarithm reflection formula $\zeta(2)-\log(x)\log(1-x)=\operatorname{Li}_2(x)+\operatorname{Li}_2(1-x)$
139625
Proof of a Fibonacci identity
85626
prove $\sum_{i=1}^{n}(x_i-\bar{x})^2\lt\sum_{i=1}^{n}(x_i-a)^2$
141909
Prove ${2}^{n}\cdot(2m+1)-1 $ is invertible
26741
How to prove for $s<1,|a+b|^s\le|a|^s+|b|^s$
118898
Is there a simple way of proving that $\text{GL}_n(R) \not\cong \text{GL}_m(R)$?
71564
Combinatorial proof of identity involving central binomial coefficients
121706
Show $\text{det}(A)$ is divisible by $2^{n-1}$
20346
'Algebraic' way to prove the boolean identity $a + \overline{a}*b = a + b$
83776
Is there a direct proof of this lcm identity?
23071
Showing that $f_0 (x_1, \ldots, x_m) \mathrm tr A =\displaystyle{ \sum_{i=1}^n} f_0(x_1, \ldots, Ax_i,\ldots, x_m)$
96961
A proof for the identity $\sum_{n=r}^{\infty} {n \choose r}^{-1} = \frac{r}{r-1}$
89175
Proof of $(a+b)^{n+1}$
48881
Verification the integral identity $\int_0^\pi \ln(1+\alpha\cos(x))dx=\pi\ln\left(\frac{1+\sqrt{1-\alpha^2}}{2}\right)$.
8589
$\sqrt[b_1]{a_1}+\sqrt[b_2]{a_2}+\cdots+\sqrt[b_k]{a_k}$ not an integer
145900
Proof of a double summation reduction identity
77253
Proof of Lagrange Identity