Arizona landlord/tenant statute 33-1368: (note the emphasis on ALL past due and unpaid periodic rent)
B. A tenant may not withhold rent for any reason not authorized by this chapter. If rent is unpaid when due and the tenant fails to pay rent within five days after written notice by the landlord of nonpayment and the landlord's intention to terminate the rental agreement if the rent is not paid within that period of time, the landlord may terminate the rental agreement by filing a special detainer action pursuant to section 33-1377. Before the filing of a special detainer action the rental agreement shall be reinstated if the tenant tenders all past due and unpaid periodic rent and a reasonable late fee set forth in a written rental agreement. After a special detainer action is filed the rental agreement is reinstated only if the tenant pays all past due rent, reasonable late fees set forth in a written rental agreement, attorney fees and court costs. After a judgment has been entered in a special detainer action in favor of the landlord, any reinstatement of the rental agreement is solely in the discretion of the landlord.
Wrong.
This is the correct answer to my question:
A.R.S. 33-1371, part of the Arizona Residential Landlord Tenant Act, governs acceptance of partial payments. It provides in part:
A. A landlord is not required to accept a partial
payment of rent or other charges. A landlord accepting
a partial payment of rent or other charges retains the
right to proceed against a tenant only if the tenant
agrees in a contemporaneous writing to the terms and
conditions of the partial payment with regard to
continuation of the tenancy. The written agreement
shall contain a date on which the balance of the rent is
due. The landlord may proceed as provided in article 4
of this chapter and in title 12, chapter 8 against a
tenant in breach of this agreement or any other breach
of the original rental agreement. If the landlord has
provided the tenant with a notice of failure to pay rent
as specified in section 33-1368, subsection B prior to
the completion of the agreement for partial payment,
no additional notice under section 33-1368, subsection
B is required in case of a breach of the partial payment
agreement.
This means that, so long as you did not receive a default notice prior to making the partial payment, the landlord cannot proceed against you (evict you) unless you signed a separate agreement when you made the partial payment. If you received a default notice before you made the partial payment, the landlord may still proceed.