The question is what constitutes as "proof"? It's certainly isn't going to be a mathematical proof.

Is "proof" limited to being sanctioned by a homogeneous scientific community who receives their funding from the same institutions that they are analyzing? Is there "proof" that vaccines are essential to public health? Would sanitation not have a contributing factor to reduction of disease? Can you rule out biological warfare as a catalyst for various epidemics?

Perhaps "proof" can mean implication in an investigative sense through collating evidence & connecting the dots. In this sense, would a conviction in a non-biased criminal or civil court be "proof"?

Here's some evidence; note that the most of the corporate media is sponsored by pharma/medical advertisement, creating a conflict of interest in reporting. Approach this like an investigator, do the research, & listen to the various interested parties:

* The National Childhood Vaccine Act limits the liability of vaccine manufactures from claims. There is a separate fund which pays off families whose children were injured by a vaccine.

https://www.wikiwand.com/en/National_Childhood_Vaccine_Injur...

https://www.hrsa.gov/vaccinecompensation/index.html

* Several CDC & industry whistle-blowers reported rigged scientific studies re: MMR & other vaccine effects. Why would these people ruin their nice jobs & face public scrutiny to blow the whistle if there were not a moral reason to do so?

http://www.naturalnews.com/046535_MMR_vaccines_autism_CDC_wh...

* Studies indicating that Unvaccinated Children are Healthier than Vaccinated Children

https://healthimpactnews.com/2016/study-unvaccinated-childre...

* President Trump commissioned a panel headed by Robert Kennedy & supported by Robert De Niro (a vocal critic of Trump whose child has been injured by vaccines).

https://www.youtube.com/watch?v=uEkbXGAfMyY

* Propaganda/Public Relations campaigns directed at any skeptic of vaccines. You know the dreaded "anti-vaxxers". If there were no culpability, why would there be such heavy Progadanga demonizing people from exercising their free speech? Bill Nye wants anti-vaxxers to be killed. Penn & Teller seemed zealously angry in their video against the evil "anti-vaxxers". Why such a harsh response? Is this not similar to the Catholic Inquisitions where the religious hegemony was challenged by esoteric & scientific belief?

The establishment Scientific homism of GMOs, Vaccines, Climate Change, compulsory fluoridation has been unable to silence it's critics through studies & rhetoric. Instead, the arguments & evidence against these organizations is only growing in volume.

* Anecdotal evidence/videos of many people who have suffered injuries from vaccines. This is not limited to autism. I personally know a few people who have been injured (mainly from the East Coast). Before you write them off, these people seem quite convinced over the causes of their injuries. There is little motivation to be reporting such causes. It's important to elevate direct reports, as there is a heavy vested interest in spinning stories (similar to blaming the rape victim).

http://healthimpactnews.com/2015/march-2015-settlements-in-v...

http://vaxxedthemovie.com/

* Measles outbreaks where those infected had the measles vaccine. I thought the value proposition of vaccines was inoculation for life?

https://www.cdc.gov/mmwr/preview/mmwrhtml/00000359.htm

* Mercury & other compounds found in the vaccines. Independent labs have analyzed harmful bioaccumulative compounds in vaccines.

https://www.ecowatch.com/glyphosate-vaccines-1999343362.html