Why did Austria intervene in the war between Sweden and Poland in 1658?

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Leopold I Leopold I, detail of a portrait bust, c. 1700; in the Kunsthistorisches Museum, Vienna.

Austria intervened in the war between Sweden and Poland in 1658 primarily to prevent the collapse of the Polish state.1

During this period, the Swedish invasion of the Polish-Lithuanian Commonwealth had severely threatened the regional balance of power, prompting Leopold I to join an international coalition that included Denmark and Brandenburg-Prussia to aid Poland. While the intervention resulted in some military successes, it did not yield territorial gains for Austria, though it was successful in halting the Swedish advance into Germany. The conflict eventually concluded with the Treaty of Oliwa in 1660.12