Well put.
We don’t have to state it that way. All we need to know is that Christ DID speak of hell many times and that the Gospels detail His personal struggle with the devil. We know the devil and hell exist. End of discussion, as far as I’m concerned!
We also find in the gospels, that when Jesus or the apostles cast out demons, they never belaborered for days. They simply said, come of out him/her in the name of Jesus! End of exorcism.
Satan fears the name of Jesus for the Bible says there is no other name under heaven wherein one can be saved. There’s power in His name. The devils don’t tremble at the name God - but, they do at the name of Jesus. That’s why the atheists and other groups have worked so hard to have his name removed from society.