Section Adjunct_Between_Compose_assoc.
Context {B C D E : Category}
(adj : Adjunct_Between B C)
(adj' : Adjunct_Between C D)
(adj'' : Adjunct_Between D E).

(* Specifications: *)
Theorem Adjunct_Between_Compose_assoc :
Adjunct_Between_Compose adj (Adjunct_Between_Compose adj' adj'') =
Adjunct_Between_Compose (Adjunct_Between_Compose adj adj') adj''.