Show $f^{-1}(A^c)=(f^{-1}(A))^c$
65923
How to approach proving $f^{-1}(B\setminus C)=A\setminus f^{-1}(C)$?
5526
Prove that $ℤ[i]^*= \{1,-1,i,-i\}$
27281
How to prove $\,x^a-1 \mid x^b-1 \iff a\mid b$
155995
Fibonacci proof question: $f_{n+1}f_{n-1}-f_n^2=(-1)^n$
108923
What is wrong with this false proof? $-1=(-1)^1=(-1)^\frac{2}{2}=((-1)^2)^\frac{1}{2}=\sqrt{(-1)^2}=\sqrt{1}=1$
23071
Showing that $f_0 (x_1, \ldots, x_m) \mathrm tr A =\displaystyle{ \sum_{i=1}^n} f_0(x_1, \ldots, Ax_i,\ldots, x_m)$
101371
show that $f^{(3)}(c) \ge 3$ for $c\in(-1,1)$
61640
Prove c exists for f:[0,1] -> R
27482
How to show $-\sup(-A)=\inf(A)$?
55742
Showing that $f_{2n+1}=f_{n+1}^2+f_n^2$.
6777
Showing $(a^{2}+2)(b^{2}+2)(c^{2}+2)\geq 9(ab+bc+ca)$
136304
Prove: $2^b-1\mid{}2^a-1 \iff b\mid{}a$
139436
Show function $f(x,y)=(x^2-y^2,2xy)$ is $1$-$1$ by Inverse Function Theorem
107765
Prove that there exists two roots in $[-1,1]$
13899
Proof that $-v = (-1)*v$
55094
How to show $i^{-1} = -i$?
131692
How to show that $f_{0}f_{1}+f_{1}f_{2}+...+f_{2n-1}f_{2n} = f^{2}_{2n}$