We are talking about Ancient History, not Mathematics.
There is no PROOF for most people in Ancient History. Most of the people that we know of from that time are just one or two lines in some text written by people who never met them. Unless it happens to be a King or something like that who had coins minted with their head on them or statues made or something.
The methods used by Historians to determine whether or not there was a man behind the myth are the same for Jesus as they are for anyone else. Look them up.
You want to say that means we don't have "Proof", OK then, we also don't have "Proof" for any of the pre-Socratic Greek Philosophers, or Pythagoras, or...
And we get this BS again. The reality is somewhat different:
Pythagoras (c570 BCE – c495 BCE): more famous for founding Pythagoreanism (a way of life rather than religion) which thanks to it secretive nature we know little about there isn't much on him or the movement that he inspired. In fact the Pythagorean theorem is not formally credited to him until the 4th century. However, Milo of Croton a documented six-time Olympic victor (540 BC-520 BCE) was a Pythagorean and is said to have personally saved Pythagoras life with his great strength
Sun Tzu (Sun Wu) (544–496 BCE?): his very existence is debated in scholarly circles despite reference in the Records of the Grand Historian and Spring and Autumn Annals which used earlier official records that haven't survived.
Confucius (Kong Qiu) (551–479 BCE) the Records of the Grand Historian used archives and imperial records as source material (which themselves have not survived). Its author Sima Qian noted the problems with incomplete, fragmentary, and contradictory sources stating in the 18th volume of the 180-volume work "I have set down only what is certain, and in doubtful cases left a blank." Moreover, Kong Qiu was the governor of a town in Lu and ultimately held the positions of Minister of Public Works and then Minister of Crime for the whole Lu state not exactly minor positions one could create a fictitious person to fill.
Leukippos (shadowy nearly legendary figure of early 5th century BCE): very existence doubted by Epicurus (341 – 270 BCE).
Socrates (c469 – 399 BCE): written about by contemporaries Plato, Xenophon (430 – 354 BCE), and Aristophanes (c446 – 386 BCE).
Hippocrates (c460 – c370 BCE): written about by contemporary Plato.
Plato (428 – 347 BCE): written about by contemporaries Aristotle (384 – 322 BC), Xenophon, and Aristophanes.
Alexander the Great (July 20, 356 – June 11, 323 BCE): official historian Callisthenes of Olynthus, generals Ptolemy, Nearchus, and Aristobulus and helmsman Onesicritus where all contemporaries who wrote about Alexander. While their works were eventually lost, later works that used them as source material were not. Then you have mosaics and coins also contemporaneous with Alexander.
Hannibal (247 – 182 BCE): Written about by Silenus, a paid Greek historian who Hannibal brought with him on his journeys to write an account of what took place, and Sosylus of Lacedaemon who wrote seven volumes on the war itself. Never mind the contemporary Carthaginian coins and engraved bronze tablets.
Julius Caesar (July 100 – 15 March 44 BCE): Not only do we have the writing of contemporaries Cato the Younger and Cicero but Julius Caesar' own writings as well (Commentarii de Bello Gallico aka The Gallic Wars and Commentarii de Bello Civili aka The Civil War). Then you have the contemporary coins, statues and monuments.
Apollonius of Tyana (c15 CE - c100 CE): Often refereed to as the "Pagan Christ", fragments of Apollonius' own writings are part of the Harvard University Press edition of The Life of Apollonius of Tyana (1912) ISBN-13: 978-0674990180 as documented in Carrier's Kook article.
Boadicea (d. 60 CE): Tacitus himself would have been a 5-year old boy when she poisoned herself c. 60 CE making him contemporary to her. Furthermore, his father-in-law Gnaeus Julius Agricola served under Gaius Suetonius Paulinus during the revolt. So Tacitus was not only an actual contemporary, but he had access to Gaius Suetonius Paulinus' records and an actual eyewitness.
Muhammad (570 – c. June 8, 632 CE): Unlike the New Testament, the Quran was written during Muhammad's lifetime and there are some that say it was compiled shortly before his death. Moreover there are non-Muslim references by people who would have been contemporary to Muhammad
Now compare those to Jesus
1) The only known possible contemporary is Paul (Romans, 1st Corinthians, 2nd Corinthians, Galatians, Philippians, 1st Thessalonians and Philemon) who not only writes some 20 years after the events but seems more intent on the Jesus in his own head than any Jesus who actually preached in Galilee. In fact, even though in his own account Paul meets "James, brother of the Lord" we get no details of Jesus' life, not even references to the famous sermons or miracles.
2) The Gospels are anonymous documents written sometime between 70 CE to 140 CE and there are no references to any of them until the early 2nd century.
As you can see the whole if we deny Jesus we deny most of ancient history claim is total BS and has no more credibility then Holocaust denial or the theory of ancient astronauts.