Do estimated state taxes for one state also flow to another state's return

I live in  DC but have to file in California as well since my law firm withholds estimated taxes for CA.  I enter the estimated CA taxes in my Federal return and they flow to my CA return.  I have assumed that they do no flow to my DC return so I enter them manually on the DC return on the other state taxes portion.  Am I correct or am I double counting them in the DC return.