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No. They are 2 separate universities both situated in Leeds. One is "The University of Leeds" the other is "Leeds Metrapolitan University"
http://www.leeds.ac.uk/
http://www.lmu.ac.uk/
Leeds Metropolitan University was created in 1992.
Leeds University Union was created in 1900.
No, LU is situated in Western Yorkshire in the city of Leeds.
Definitely Leeds