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Trim any fat off of the chicken and cut it crosswise into 1 inch wide strips.
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Season the flour with salt and pepper.
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Coat the chicken pieces with the flour, shaking off any excess.
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Saute the chicken in the olive oil until golden brown.
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Remove the chicken to a plate. Add the wine to the pan and scrape up any browned bits from the bottom of the pan.
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Add onions, mushrooms, garlic and rosemary.
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Mix the cornstarch with 1 tablespoon of cold water and stir it into the sauce.
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Add the chicken back in, bring the sauce to a boil and then cover, reduce heat to low and simmer for 30 minutes.