Hi all,

let $\displaystyle \mathbb{W}_t$ be a subset of $\displaystyle \mathbb{W}$ for any $\displaystyle t$ (its elements are defined by $\displaystyle t$). If I want to say that if I performed union of every set $\displaystyle \mathbb{W}_t$ with $\displaystyle 1 \leqslant t \leqslant k$, I would obtain $\displaystyle \mathbb{W}$, is it valid notation to write :

$\displaystyle \displaystyle \mathbb{W} = \bigcup_{t=1}^{k} \mathbb{W}_t$

I don't want to use the heavy $\displaystyle \mathbb{W} = \mathbb{W}_1 \cup \mathbb{W}_2 \cup \dots \cup \mathbb{W}_k$ notation, is the shortcut above valid and understandable ?

Thanks all :)