Show that the relation $(- 1) (- 1) = 1$ is a consequence of the distributive law
17515
Why is negative times negative = positive?
91178
chain of divisibility relation
14559
Binomial[-1,-1]
17714
Proof $\sum_{k=1}^n (-1)^{k+1} \binom{n}{k}\frac{1}{k} = H_n$ by induction
15104
Show that $\big|\frac{a-b}{1-\overline{a}b}\big|=1$, when either $|a|=1$ or $|b|=1$.
122929
Prove that $Y=-2\sum_{i=1}^n \ln F_{X_i}(X_i)$ have distribution $\chi^2(2n)$
30860
Prove that $f(x)=0$ in $[-1,1]$.
59872
How to prove $\inf(S)=-\sup(-S)$?
45219
Proving that $C$ is a subset of $f^{-1}[f(C)]$
46698
Showing a set is closed under inverses
70193
Show that the relation defined on an integral domain by "$x\sim y$" ("$x$ is associated with $y$") is a relation of equivalence.
65923
How to approach proving $f^{-1}(B\setminus C)=A\setminus f^{-1}(C)$?
136782
Prove that $x * y = \frac{x+y}{1+xy}$ is a stable part of $G=(-1, 1)$
108923
What is wrong with this false proof? $-1=(-1)^1=(-1)^\frac{2}{2}=((-1)^2)^\frac{1}{2}=\sqrt{(-1)^2}=\sqrt{1}=1$
63410
Proof on showing if F(x,y,z)=0 then product of partial derivatives (evaluated at an assigned coordinate) is -1
154945
$|px^2+qx+r|\le1$ for all $x$ in $[-1; 1]$, show that $|rx^2+qx+p|\le2$ for all $x$ in $[-1; 1]$
154001
$(g\circ f)^{-1}=f^{-1}\circ g^{-1}$