The charge must be proved 'to the satisfaction' of the court. [=the court must be convinced that the charge is true]
I complained to the manager about the poor service but did not get any 'satisfaction'.
The work was not done 'to my satisfaction'. [=I was not satisfied with the work]
(..) Including my unborn daughter, In a small wedding chapel In El Paso, Texas. But on that day four years ago she made one big mistake. However, before satisfaction would be mine, Wiggle your big toe. Hard part's over. Now, let's get these other piggies wiggling. (..)2003 Kill Bill: Vol. 1