Put the condensed milk, cream cheese, lime juice and vanilla in a food processor fitted with the steel blade, and process for 5 minutes.
(Or beat in a mixer fitted with a wire whip for 15 minutes.) Spoon the filling into the cooled pie crust, and refrigerate at least 8 hours, until filling is firm.
Whip the cream with the sugar until soft peaks form.
Spread on pie.
Garnish the pie with lime slices.
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