Proving $\sup A = -\inf(-A)$
27482
How to show $-\sup(-A)=\inf(A)$?
55018
Prove that $A^*A + I$ is invertible
24856
Proving sup(A + B) = sup A + sup B
147941
comparing sup and inf of two sets
61799
Prove that $\Vert f(b)-f(a)-f'(a)(b-a) \Vert\leq \sup_{x\in [a,b]} \Vert f''(x)\Vert\Vert b-a\Vert^2$
110826
prove that : $ i = \sqrt {-1}\ $
36697
Proving that $\int_{-b}^{-a}f(-x)dx=\int_{a}^{b}f(x)dx$
141837
Proof of $\sup\{ (n!)^{(\frac{1}{n})}| n ∈ N\} = +∞?$
94781
Prove that $M(t)=\sup_ {a \leq x \leq t} f(x)$ given $f(x)$ is continuous on $[a,b]$
68781
proving if $a \le b$ then $\sup(A) \le \inf(B)$
145397
How to prove that for every $i$, $a_i = i$
88278
Show $S = f^{-1}(f(S))$ for all subsets $S$ iff $f$ is injective
76863
How to show $ \sup \inf g(x,y) \leq \inf \sup g(x,y)$?
153272
Basic question about $\sup_{x\neq 0}{} \frac{\|Ax\|}{\|x\|} = \sup_{\|x\| = 1}{\|Ax\|} $, $x \in\mathbb{R}^n$
87239
Prove functions defined by sup and inf are continuous
34702
Show $|A + uv^T| = (1 + v^T A^{-1} u) |A|$
107765
Prove that there exists two roots in $[-1,1]$