Subject: Will H2O freeze at a warmer temperature if it is in a vacuum (low press.)?

My co-worker has set up a demo for children where he uses a propane 
bottle,insulated lunch box,propane burner and water. The propane bottle and 
water are placed inside the insulated lunch box w/ a hose fed through a hole in 
the box to the burner. This demonstration is to show how water can be boiled on 
one end of this unit and cooled on the other. I agree until he says that if he 
was to pull a vacuum (low pressure)on the box that the water would freeze at a 
warmer temperature. Is he correct?

Re: Will H2O freeze at a warmer temperature if it is in a vacuum (low press.)?