Yes it will survive. I've brought MFT Pen cameras to sub zero temperatures, it's about knowing how to care for them. After using the camera , place it into a air tight ziplock before leaving the premises to minimize condensation. Leave the camera inside for around 5-10 mins before removing it from the ziplock. The reasons behind can be found using a search on clubsnap

I'm sure someone made a sticky on preventive care measures on bringing camera equipment to cold areas.