How Do We Know That Jesus Rose From The Dead?

It's quite logical to believe in the resurrection of Jesus of Nazareth:
1) Nineteen pagan Roman historians referred to him as a contemporary teacher, as did three non-Christian Jewish historians.
2) None of them refuted the fact that he was executed for his teaching.
3) His disciples taught that they saw him rise from the dead.
4) Most of those witnesses were put to death for their teaching. Why would someone die for what they know is a lie?
5) If the Romans or the Jewish leaders had the body of a dead Jesus, they would have displayed it and stopped this "cult" from spreading "lies".
Happy Resurrection Day!