Proceed now to construct chains of further assertions based on your original model until one is generated that looks particularly nice. If you were a talented mathematician you would now invite your colleagues who would admire your work and suggest its beauty. The chain of intermediate assertion would constitute its proof. You should know intuitively which definitions to introduce and should construct your path as convolutedly as possible. The length of proofs is what makes mathematics interesting.
Mistakes here are death.
One has to see the future. This is intuitively reasonable. The purpose of mathematics is to make sense out of the world. It says train-spotting is as relevant as cubism's cones, cylinders and spheres. Cross this out.