In his first letter to the Corinthians, Paul claims to have laid the foundation of the church.
This is a very interesting claim for two reasons. First, Paul actively persecuted the early church. When he was doing these actions, the church already existed, so there is no way Paul could have laid the foundation.
Second, Jesus said in relation to the rock of the church,
Whether you interpret that verse as Peter or Jesus being "the rock" that Jesus will build his church on, Paul was not involved. (To build a building, you need a foundation. This foundation in Roman times was usually made of stone. This is true even of the second temple. Thus, when Jesus said "upon this rock" he meant for the rock to be a foundation, as Jesus said, "upon this rock I will build my church.")
Value of this Evidence
This is indefensible evidence for Paul being a false apostle. He is putting down both Peter and Jesus at once to build himself up. Those are the actions of a false apostle who would want to steal the credit from Jesus and all his disciples.