Can a dealership legally put a higher price on the contract than what the window sticker says?

We bought a car and it took several hours to complete the deal. The salesman had everything on paper. When I signed the contract I did not notice that the F& I guy added $2000 to the sticker price on the car. I know I should have, but they showed is all the figures on paper. Now they refuse to make the correction. Actually, they will not talk to us. We do not even have a copy of the contract. Over a 10 day period, they lied 3 times about which bank had the loan. After 3 weeks, we have no paper work. Since they lied on the contract, can it be broken?