Lewis Dunk pulled one back with ten minutes to go moments after Liverpool keeper Alisson had been shown a straight red for handling outside the area, but the hosts extended their lead at the top to 11 points thanks to Virgil van Dijk’s two first-half headers.
Potter said, “I am immensely proud of our effort over 90 minutes, but disappointed for the players, because ultimately we came here to get points.
“We put a lot into the game and played with a lot of courage. We weren’t quite as aggressive as we needed to be in the first 20 minutes, so that’s a learning point for us, but we have a really good account of ourselves against a top team. I was very pleased with a lot of the work we did over the course of the 90 minutes.
“I thought it was a performance of great heart, courage and quality against a fantastic team, and at times the Anfield crowd had to get behind their side because we were really in the game, especially after the sending-off.
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“It’s never easy when you are playing against the European champions and the top team in the Premier League but, at the end, we were pushing strong."
"We didn’t start the game as well as we aimed to, although we felt there was a foul on Aaron Connolly before the first goal, but we have to defend those situations better.
“That is something for us to work on going forward. We put a lot into the game and we have to take that forward into Thursday’s game at Arsenal.”