What is a proof?

[Muslim Scholar]

Second you have it ass backwards

I didn't

Inductive logic: weak entailment, less dependable, conclusion not guaranteed (don't confuse this to not to lead to right reasoning)

It is not weak, it is less affirmative than deductive logic, but it can bring new information

Deductive logic: strong entailment, guaranteed conclusion, most dependable.

yes, but it is actually not bringing any new information, it is just formulating existing facts (Premises)

My point is: even if the proof is using Inductive logic (and you don't have something better)
It should be considered as a proof