screw proofs
unfortunately, there will be no evidence that you tried if you don't make it
When i was in hell Narayana in 12th, a physics lecturer came to me and said that what's the point of all this if it doesn't reflect in the result. He was referring to my attentive listening and answering in the classes. The class was full of 17 or so year olds who were clueless of the harm they were inflicting on somebody who knew what she wanted to do in the short term(to get into an NIT if not IIT and be among people who are passionate about STEM). They would talk endlessly. I think none of them couldn't tell their parents that they wanted to pursue xyz even if they figured out what they wanted to do. In between all this and the constant nudges by my parents to attend classes as they were getting calls everyday despite me telling that the only sane way is to stay at home, use online resources and textbook to study.
The point i am trying to establish is that proof will emerge eventually, it has no other way when the person in question is insane. In my case, when the actual JEE results came i did okayish and better than those toppers in other sections who prolly mugged things up or cheated their way up. This wouldn't show up in their exams because they fill the paper with crap questions out of their study material which are unnecessarily tough.
The world is obsessed with proofs. The law fails solely because of this. there are predators lurking out there just because they leave no evidence. the only evidence that survives is in the victim's head and they live rest of their lives screwed up.
Just do your thing!