From Today's Readings:
Solemnity of Saints Peter and Paul, Apostles
Alleluia MT 16:18
R. Alleluia, alleluia.
You are Peter and upon this rock I will build my Church,
and the gates of the netherworld shall not prevail against it.
R. Alleluia, alleluia.
Jesus’ church means the community that he will gather and that, like a building, will have Peter as its solid foundation. That function of Peter consists in his being witness to Jesus as the Messiah, the Son of the living God. The gates of the netherworld shall not prevail against it: the netherworld (Greek Hadēs, the abode of the dead) is conceived of as a walled city whose gates will not close in upon the church of Jesus, i.e., it will not be overcome by the power of death.