Why cold water don't fog mirrors?

Cold water doesn't fog mirrors because fogging occurs when warm, moisture-laden air comes into contact with a cooler surface, causing the moisture to condense into tiny water droplets. If the mirror is cold, it can cool the air immediately adjacent to it, but if the mirror itself is cold and the surrounding air is also cool, there isn’t enough temperature difference to create condensation. Consequently, the moisture remains in the air rather than forming fog on the mirror's surface.