Definition composePathPathOver {X:Type} {x' x'':X} {p:x'=x''} {Y : X -> Type} {y y': Y x'} {y'' : Y x''} : y = y' → PathOver p y' y'' → PathOver p y y''. Proof. intros e q. now induction e. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.PartA.