At first I was stumped at how I was going to get rid of the Poinciana tree stump, then I just started digging to expose the roots.
Chopped off those roots with the axe.
More digging and chopping.
Since the stump was right up against the fence it was more digging and then spraying with the pressure nozzle on the end of the water hose to expose the remaining roots. At this point I was going to get it out no matter what, which ended up meaning I was so into it that I forgot to take anymore photos. Suffice it to say the stump is no more.