gtk:window-iconify (window)

window -- a gtk:window widget

Asks to iconify, for example, minimize, the specified window. Note that you should not assume the window is definitely iconified afterward, because other entities, for example, the user or window manager, could deiconify it again, or there may not be a window manager in which case iconification is not possible, etc. But normally the window will end up iconified. Just do not write code that crashes if not.

It is permitted to call this function before showing a window, in which case the window will be iconified before it ever appears onscreen.

You can track iconification via the "window-state-event" signal on the gtk:widget object.