Keep in mind that many left-wing Europeans supported military intervention in Libya. All political parties in Denmark and Sweden (with the exception of the anti-immigrant Swedish Democrats) supported intervention, including the Danish Red-Green Alliance and the Swedish Left Party, both of whom sit in the same EU parliamentary group as SYRIZA, KKE, and Die Linke. The Norwegian left likewise supported intervention (as they currently form the Norwegian government) but got irate because they felt that Norway was taking on too large a role relative to its size.
that's because the "left" in europe has turned imperialist, not because it was particularly left wing to intervene.
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