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Put butter in a 9-inch pie pan; place in a 450 degree Fahrenheit oven until butter is melted.
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Remove from oven and carefully tilt pan to coat bottom and sides with the melted butter.
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In a medium bowl, beat the flour, eggs, milk, and 1/4 teaspoon of salt until smooth.
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Pour into the pie pan; bake at 450 degrees Fahrenheit for 14 to 16 minutes, until puffed around the edges and golden brown.
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While the pancake is cooking, cook the broccoli, green pepper, tomato, and onion in the 2 tablespoons water for 8 to 10 minutes until tender-crisp. Drain well.
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Toss with pepper and remaining 1/4 teaspoon of salt.
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Sprinkle the cooked pancake with 1/2 cup cheese; top with vegetables and remaining 1 cup of cheese.
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Bake at 450 degrees Fahrenheit for 3 or 4 more minutes, or until cheese is melted.
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Serve immediately.