$VV^{-1} \subseteq U$
9854
If $U$ is a neighborhood of $e$, there exists $V$ neighborhood of $e$ such that $V^{-1}V \subseteq U$
34147
$\|u\|\leq \|u+av\| \Longrightarrow \langle u,v\rangle=0$
68746
What is $f(f^{-1}(A))$?
35564
Prove that $u\cdot v = \frac{1}{4}||u+v||^2 - \frac{1}{4}||u-v||^2 \forall u,v \in \mathbb{R^n}$
54957
The necessary and sufficient condition for a unit element in Euclidean Domain
10540
Prove $\vdash \neg(\square F\land p)$ in $KD$
73869
$\mathcal{C}_1 \subseteq \mathcal{C}_2 \implies \sigma( \mathcal{C}_1) \subseteq \sigma( \mathcal{C}_2) $
45219
Proving that $C$ is a subset of $f^{-1}[f(C)]$
145462
On the canonical isomorphism between $V$ and $V^{**}$
41047
Subspace Topology of a subset
154837
mapping properties of $(1−z)^i$
117131
Canonical Isomorphism Between $\mathbf{V}$ and $(\mathbf{V}^*)^*$
91087
For which values $r, s \in \mathbb R$ is the set $\{u, v, w\}$ linearly independent?
77891
$(U\circ T)^{*} = T^{*}\circ U^{*}$
17212
The preimage of a subset
154001
$(g\circ f)^{-1}=f^{-1}\circ g^{-1}$
102924
Normal space- equivalent condition: $\forall U, V$ - open $: U \cup V = X \ \ \ \exists F \subset U \ , G \subset V$ - closed $: F \cup G = X$