Ha ha, I was waiting for someone to ask that! Not confrontational at all, perfectly reasonable question.
I should have rephrased it to say I'm pretty certain that the tank is cycled. How do I know? Well, the tank has been running for several years, and housed freshwater tropicals (angels, danios, guppies, usual stuff). Recently, we decided to rehouse the tropicals in another tank, and use this one for goldfish. I was careful not to clean the glass, and to be very gentle when cleaning the filter medium. That way, the bacteria on the glass and in the filter should have survived the transition. Also, the tank has been running four about four weeks now, so any further cycling needed should have finished.
Make sense, or did I get the wrong idea?