Mrazek needed to make only 14 stops as the Red Wings breezed to their 14th straight game without a regulation loss against Edmonton, going 12-0-2 over the span stretching back to 2006.
Oilers goalie Richard Bachman yielded two goals on nine shots before leaving in the first period with an injured groin.
Jason LaBarbera came in and stopped 19-of-22 shots the rest of the way as struggling Edmonton dropped a fifth straight.
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