Inferences aren't proof. I can draw an inference from your screen name, for instance, that you play baseball, and possibly third base.
Is that proof that you do?
First you make observations - then inferences - then more pieces are put together confirming the inferences and shaping them - then the story is accepted as probably true.
I said probably - because as you well know, some people will never be convinced.
You are not of the mind that observations and inferences should be left to the professionals like the FBI are you?