West Yorkshire Police have tweeted that Police Horse Bud has received dozens of messages of support in the post. Bud was attacked in football riots in Newcastle at the weekend.
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A detective who helped bring the double murderer to justice says he could also have killed Ms Lawrence, who has been missing since 2009.
Emmerdale actor John MIddleton has joined around 3,500 people taking part in a memory walk in Leeds.
Labour's candidate for the Batley and Spen seat, which was left vacant following the killing of Jo Cox, has been canvassing in Cleckheaton.