Lima scored twice to help Benfica to a 4-0 victory at home Penafiel, condemning their visitors to relegation on Saturday.
The Brazilian striker netted in each half as Benfica made it six league games without defeat, while moving six points clear of rivals Porto, who face lowly Gil Vicente on Sunday.
But it will be second-tier football next season for Penafiel, who needed to take something from the match to keep their slim survival hopes alive.
Lima opened the scoring in emphatic fashion after eight minutes at Estadio da Luz, running onto Maximiliano Pereira's cross and heading powerfully past Alireza Haghighi.
Fellow Brazilian Jonas doubled the home side's lead on the half-hour mark, with a composed finish from just inside the area after being played in by Eduardo Salvio.
The scores were level at the break, but second-half goals from Danilo Pereira and Moussa Marega helped Braga end a run of three consecutive draws.
