Book Learning is Learning from Experience

My attempt to create a logical proof showing that book learning is equal to experiential learning:

If you can learn from experience, then you can describe that experience.
If you can describe your experience, you can teach from your experience.
If you can teach from your experience, you can write your lessons down.
If you can write your lessons down, I can read them and learn from them.

Also said:
Can you learn?
If so, can you teach someone what you've learned?
If so, could you teach them in writing?
If so, could you write it in a book?
If so, then book learning is in some ways equivalent to experience.