Is proving new math theorems a gradual process, in which you work toward the goal while knowing that you will reach it at some point?
Or is it a collection of "aha" moments in which some clever proofs pop up in your head?
I'm working on my dissertation and there always seems like a large gap between what I am able to do and what I have to prove. It feels like finding your way in the dark and you are walking on a thin rope.