Any proof that it's lower in supply than gold (chemically impossible) or that it's irreplaceable (and not just useful) in industry?
I'm not sure how you expect me to prove that. By buying all the gold and silver in the world and weighing it? And, although the ratio of silver to gold in the Earth's crust is somewhere around 20:1, I'm talking about refined metals here, so it's certainly not chemically impossible that there's less supply of refined silver.
I obviously don't have any proof that it's irreplaceable either, or that it will never be replaced. What I know is that it's the most reflective and conductive substance we know of, it's critical for all sorts of manufacturing, and has growing use for solar panels and anti-microbials. I form these opinions, as I do most things, by listening to experts in the field who I trust. How to you form your opinions?
You'll have to excuse me if I seem a little terse, but you obviously have some issues. Whether they're personal or you're just a douche, I couldn't say, nor do I particularly care.

Nice one! Consider me appropriately humbled.