Chelsea obtain the 13th win in a row since the beginning of October and now are leaders with 49 points.
Liverpool, who are second with 40, will play Manchester City – third – in half an hour at Anfield.
The goals were scored by Cahill, Willian ( brace) and Diego Costa, with Stoke City trying to challenge Chelsea until the 3-2, scored by Willian just two minutes after Peter Crouch’s equaliser.
The other Potters’ goal was scored by Martins Indi in the beginning of the second half.
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