Removing parametrized rays symplectically

Extracting isolated rays from a symplectic manifold result in symplectomorphic to the initial one. The same holds for higher dimensional parametrized under an additional condition. More precisely, let $(M,\omega)$ be manifold. Let $[0,\infty)\times Q\subset\mathbb{R}\times Q$ considered as $[0,\infty)$ and $\varphi:[-1,\infty)\times Q\to M$ injective, proper, continuous map immersive on $(-1,\infty)\times Q$. If standard vector field $\frac{\partial}{\partial t}$ $\mathbb{R}$ any further $\nu$ tangent equation $\varphi^*\omega(\frac{\partial}{\partial t},\nu)=0$ then $M$ $M\setminus \varphi([0,\infty)\times Q)$ are symplectomorphic.