If inverse $x^{- 1}$ of $x$ is $x$ how to prove $x = x^{- 1}$ is identity?
73382
A concrete example of involution in group theory
41779
Is $x/x$ equal to $1$
154327
$A^2X = X$ show that $AX = X$, if $A_{ij} > 0$ and $x_{i} > 0$
139436
Show function $f(x,y)=(x^2-y^2,2xy)$ is $1$-$1$ by Inverse Function Theorem
105910
How to prove that $[G:xHx^{-1}] = [G:H]$ given $H \le G$?
2616
What is the antiderivative of $x^{x^{x^{x...}}}$?
36906
Prove that $x^n+x^{-n} \in \mathbf{N}$ if $x+\frac1x \in \mathbf{N}$
108633
Why $f^{-1}(f(A)) \not= A$
48333
Prove by induction that $(x+1)^n - nx - 1$ is divisible by $x^2$
103223
If $x^a$ is $x$ multiplied $a$ times, then how does $x^{-1}$ make sense?
158335
Why is this $0 = 1$ proof wrong?
156235
Are $x \cdot 0 = 0$, $x \cdot 1 = x$, and $-(-x) = x$ axioms?
77076
Proof that $(x-1)^2$ divides a $nx^{n+1} – (n+1)x^{n}+1$
144773
function $f(x)=x^{-(1/3)}$ , please check whether my solution is correct?
5526
Prove that $ℤ[i]^*= \{1,-1,i,-i\}$
57421
If $\forall x \in G$ where G is a group $x=x^{-1}$ then how is this group abelian?
68746
What is $f(f^{-1}(A))$?