Defend and Indemnify against negligence?

[Pearce G.]

My daughter just asked me to look at a lease for grad school this fall.  It has language saying that the tenant will defend and indemnify the landlord and their agents against all claims and liabilities including "...actual negligence or breach of any express or implied warranty."  There is a qualifier "to the full extent permitted by law."

Even if that language is in a lease, a tenant can't be held liable for a landlord's actual negligence or actual breach, can they?