This is LaTeX code:

[latex]
\forall x \in B,\ \forall \varepsilon \in \left\langle0,\, \lambda_x\right\rangle,\ \exists \delta_x >0,\ \left(f\left(A \cap K\left(x,\, \delta_x\right) \setminus \left\{x\right\}\right) \subseteq K\left(f\left(x\right),\, \varepsilon\right) \subseteq U\right)
[/latex]