Dee ihe na-esote paragraf a - Ọgụ ndị Sweden wakporo Polish-Lithuanian Commonwealth n'afọ na-esote malitere Agha Northern nke Abụọ. Frederick William nyere nchebe obodo Royal Prussian na Treaty nke Rinsk, mana ọ ga-enyefe ọchịchị ndị agha Sweden ma laghachi na duchy Prussia ya. Mgbe ndị agha Sweden chụgidere ya ruo n'isi obodo Prussia, Frederick William mere udo ma soro Sweden jikọọ aka, na-ewere Duchy nke Prussia na Ermland (Ermeland, Warmia) dị ka fiefs site n'aka Charles X Gustav nke Sweden na Nkwekọrịta nke Königsberg na Jenụwarị 1656. Ndị òtù ahụ meriri n'Agha a lụrụ na Warsaw
n'ọnwa June, na-akwalite aha ọma nke onye ntuli aka ahụ na mba ụwa. Nrụgide na-aga n'ihu na Charles X Gustav rụpụtara na ọ nyere Frederick William ikike zuru oke na Ducal Prussia na Ermland site na Nkwekọrịta nke Labiau na Nọvemba iji hụ na njigide nke njikọ ahụ. Nkwekọrịta nke Radnot, nke Sweden na ndị ha na ya jikọrọ aka bịanyere aka na ya na Disemba, nyekwara Greater Poland na Brandenburg-Prussia ma ọ bụrụ na mmeri.