The trochlear nerve (/ ˈ t r ɒ k l ɪər /), [1] (lit. pulley-like nerve) also known as the fourth cranial nerve, cranial nerve IV, or CN IV, is a cranial nerve that innervates a single muscle - the superior oblique muscle of the eye (which operates through the pulley-like trochlea).Unlike most other cranial nerves, the trochlear nerve is exclusively a motor nerve (somatic efferent nerve).