Could someone please explain the condensation cycle inside a trailer?

I understand that, at night, the relative humidity increases all
around. I assume that the air inside the trailer cools slower than the
air outside, as thus, becomes warmer relative to the outside. Does the
relatively warm air inside the trailer then condensate against the
cold inner skin of the trailer? Is it then fair to assume that the
water we find on the glider is the result of the condensation dripping
on the glider, and not air condensating on the glider itself?

Thanks.