Is there mathematical proof for this? It sounds like it could be true, but also sounds like you could actively create a floor which it wasn’t true for
Yes there is. The wobbly table theroem. https://people.math.harvard.edu/~knill/teaching/math1a_2011/exhibits/wobblytable/
I’m pretty sure this doesn’t account for any floor that isn’t a flat plane.
It doesn’t require a flat plane ground, but it does require the table legs to be equal in length
This is one of those things that works in a simulated environment but not in practice in the real world.