Which proves that 'Matthew' was written after 70 AD.<quoted text>
I believe historical events described in the Bible are true in different ways, when fairly considering the genre of the writing, archaeological confirmation, literary styles, and so forth.
For example, the account in Matthew in which Jesus gives a prophecy about the destruction of the Temple. He said not one stone would be left standing among the buildings that comprised the temple compound. And His prophecy was correct. The only thing left standing after the Roman sacking of Jerusalem in 70 A.D. was the Western Wall. The Western Wall was NOT part of the Temple proper, but a portion of the platform that the Temple rested upon. When Herod the Great rebuilt the Temple Mount, he had his engineers extend the surface area to accommodate all of the buildings. The Temple proper and the complex was much bigger than what Solomon had originally built. It's an amazing piece of engineering.