You didn’t read OP, regularly refused back anything up, and came in with ad hominem. When others vote in a way that disagrees with you, you claim a conspiracy. I think the only person here acting in bad faith is you. I have tried to expand OP’s understanding of their proposal and you have only attacked people. You have attempted to insult me multiple times. Granted, I did take a swipe at you begging the question, so you could argue some bad faith was merited, but you saying I’ve never done logic while missing me explaining to you the point you’re suddenly trying to make (“necessary but not sufficient”) continues the poor student metaphor.
I’m sorry you found “good luck” to be patronizing. Does “have fun” work?
From your source, we must first have P -> Q. You have not demonstrated that. Sure, if we assume that P -> Q, then P -> Q. That’s a tautology. OP’s goal is to prove P -> Q. I’ve said this multiple times as did OP. Your consistent sharing of a truth table is a necessary condition for P -> Q but it is not sufficient. If P -> Q, then the truth table is valid. That’s modus ponens. You still gotta show (or assume like you have been) that P -> Q.
To quote OP,
In other words, P -> Q is an unproven hypothesis. If P -> Q, then your truth table is correct. If we assume P -> Q, then your truth table is correct. But propositional calculus unfortunately requires we prove things, not just show things that will be true if our original assumption is true.