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Chelsea survived a second-half fightback from Arsenal to record only their second league win at Stamford Bridge under Rafa Benitez.
Juan Mata's sixth-minute strike and Frank Lampard's penalty gave the home side a 2-0 half-time lead but Theo Walcott's goal in the second half gave Arsenal hope.
Chelsea held on to move five points ahead of Tottenham and cut the gap to second-placed Manchester City to six points.
Opener: Juan Mata gave Chelsea the lead in the sixth minute
Match facts
Chelsea: Cech, Azpilicueta, Cahill, Ivanovic, Cole, Ramires, Lampard, Oscar (Bertrand 72), Hazard (Marin 88), Mata, Torres (Ba 80).
Subs not used: Turnbull, Ferreira, Terry, Ake.
Goals: Mata 6, Lampard (pen) 16.
Booked: Cole, Mata.
Arsenal: Szczesny, Sagna, Mertesacker, Vermaelen, Gibbs, Coquelin (Ramsey 59), Diaby (Arshavin 75), Walcott, Wilshere, Cazorla, Giroud.
Subs not used: Mannone, Koscielny, Andre Santos, Jenkinson, Frimpong.
Goals: Walcott 58.
Booked: Szczesny
Att: 41,784.
Referee: Martin Atkinson (W Yorkshire).
Cruising: Frank Lampard scored a penalty to put Chelsea 2-0 ahead
Hope: Theo Walcott scored in the second half as Arsenal put pressure on the Chelsea defence
