Guardiola's men were well below their best in the Wembley semi-final, but Gabriel Jesus's early goal got the job done.
City also remain in contention for this season's Champions League as they prepare to do battle with Premier League rivals Tottenham in the quarter finals, but their most recent triumph in the FA Cup has seen Guardiola break further ground for success in cup competitions.
Brighton's priority now is to stay in the Premier League, with seven games to play and only five points separating them from the drop zone.
Tuesday's Champions League quarterfinal clash first-leg trip to Tottenham will give us an answer to that question.
"I will announce you something". It's a miracle we are still here'.
"Still we are there".
"That's why it's incredible what these players have done before".
"We need everyone. As I said, everyone is so important in this team and has their role to play in our game", Mahrez continued. "We will see in the end what happens", he said.
"For the first ten or 15 minutes of the second half, we were anxious".
"Do you believe we can play 60 games in a season and win 5-0 and have a good performance in every game?"
No English side have ever swept the Premier League, FA Cup and League Cup - let alone win the UEFA Champions League at the same time.
The Brighton fans, who greatly outnumbered City's in the crowd of 71,000, must have feared the worst in the south coast's club's first F.A. Cup semifinal since 1983, when it beat Sheffield Wednesday before losing the final to Manchester United in a replay after the first game ended 2-2. "This [Anfield] is one of the toughest places to go at the moment and I hope we can show that again". "There is enough movement for it to be a red card". I did it and I'm happy I'm back. Both players were booked by referee Anthony Taylor before the defender's yellow card was looked at by the Video Assistant Referee with the possibility of it being upgraded. We conceded too many but only one unsafe situation.
Jose Izquierdo stung the Brazilian's palms from long range, but City held on to take another step closer to history.