The following picture shows the equation output format of my MWE:

I want to keep the output format, and number each of the four equations. I use array under the equation environment, but it just numbers the whole equation. How could I number each equation while keeping the output format?
The following is my MWE:
\documentclass{article}
\usepackage{amsmath}
\begin{document}
This is the output format of the four equations:
\begin{equation}
\begin{array}{cl}
Y_l^{\mathrm{hx}} \veebar Y_l^{\mathrm{cx}} & \quad \forall l \in \mathrm{MS} \\
%
Y_l^{\mathrm{hx}} \Longleftrightarrow Y_{l,k}^{\mathrm{hx_1}} \veebar Y_{l,k}^{\mathrm{hx_2}} \veebar
Y_{l,k}^{\mathrm{hx_3}} & \quad \forall l, \; \forall k \in \mathrm{HM} \\
%
Y_l^{\mathrm{cx}} \Longleftrightarrow Y_{l,k}^{\mathrm{cx_1}} \veebar Y_{l,k}^{\mathrm{cx_2}} \veebar
Y_{l,k}^{\mathrm{cx_3}} & \quad \forall l, \; \forall k \in \mathrm{CM} \\
%
Y_{m,k}^{\mathrm{ws_1}} \veebar Y_{m,k}^{\mathrm{ws_2}} \veebar
Y_{m,k}^{\mathrm{ws_3}} & \quad \forall l, \; \forall k \in \mathrm{WM}
\end{array}
\end{equation}
\end{document}


