[souldeux]

I'm sorry, but to my layman's eye this doesn't appear to be a proof. This feels like a disconnected series of assertions more than anything else.

[shakiljiwa]

Thank you for the input, I’m an engineer and phd student in engineering so I based a lot of this on intuition, there’s an order gap for me to write something traditionally axiomatic and rigorous, but my understanding is that algebra is based on logic and problems in general, and I would like to know any logical fallacies at the very least.

Thank you for reading it.

[ahazred8ta]

Try speaking with some math department grad students about this.

[shakiljiwa]

Thank you for the suggestion, I have sent it around to some people like that to see their take! Waiting to hear more.