Whakakihia te rerenga e whai ake nei: Ko te whakaekenga a Sweden ki te Polish-Lithuanian Commonwealth i te tau e whai ake nei i tiimata te Pakanga Tuarua o te Raki. I whakawhiwhia e Frederick William te tiaki ki nga taone o Royal Prussian i te Tiriti o Rinsk, engari me tuku i te mana o te ope hoia o Sweden ka hoki ki tana rangatira o Prussia. I whaiia e nga ope Swedish ki te taone nui o Prussia, ka mau a Frederick William ki te rongo me te hononga ki Sweden, ka tango i te Duchy o Prussia me Ermland (Ermeland, Warmia) hei rangatira mai i a Charles X Gustav o Sweden i te Tiriti o Königsberg i te Hanuere 1656. I kitea te wikitoria o te hononga i te
Ko te Pakanga o Warsaw i te marama o Hune, e whakanui ana i te ingoa o te kaitono o te ao. Ko te pehanga tonu ki a Charles X Gustav i hua ai te tuku i te mana rangatira katoa i roto i te Ducal Prussia me Ermland ki a Frederick William na te Tiriti o Labiau i te Noema ki te whakarite i te pupuri o te hononga. Ko te Tiriti o Radnot, i whakaotihia i te marama o Tihema e Sweden me ona hoa, i whakawhiwhia ano a Polani Nui ki Brandenburg-Prussia mena ka wikitoria.