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On July 29, 1657 they signed the Treaty of Wehlau in Wehlau (Polish: Welawa; now Znamensk), whereby Frederick William renounced a previous Swedish-Prussian alliance and John Casimir recognised Frederick William's full sovereignty over the Duchy of Prussia.
The treaty consisted of several agreements, including the Treaty of Wehlau signed on 19 September 1657 by the Brandenburg-Prussian and Polish-Lithuanian envoys in Wehlau (Welawa, now Znamensk).