Every residential lease contains a guarantee of sorts known as the "implied covenant of habitability". Basically what his means is that if a tenant is not given both a clean and safe premises in which to live they have certain legal rights and remedies available to them. They are:   Repair and deduct - fix the problem and then charge your landlord for reimbursement; Withhold rent - withhold any further rental payments until the heat is restored; orTerminate the lease - choose to end your tenancy and move.  However, be aware that before attempting any of these remedies you should first need to speak with a lawyer.  If you fail to follow the proper procedures for pursuing any of these self-help measures you could be sued.  Accordingly, you should consult with an attorney that specializes in landlord-tenant matters.