I am trying to read the book Introduction to the h-principle by Eliashberg and Mishachev. I am unable to understand the proof of Thom's Transversality theorem in the book. So if anyone can give any alternate reference or explain the main idea in the proof it would be great.
The statement I am looking for is
"Let $X \to V$ be a fibrebundle and W a submanifold of jet space $X^r$. Then for a generic section $f:V \to X$ its jet extension is transversal to W."