كلما كان زيد إنسانا كان جسما
Whenever Zayd is human, he is a body.
This is the conclusion stated in the book. Suppose Zayd is human. The first premise then makes him an animal; the second makes whatever is an animal, in this context, a body. Hence being a body follows.
The middle condition “animal” disappears from the conclusion but remains the bridge between the premises. The proof uses two consecutive implication links.