Definition inverseInversePathOver1 {X:Type} {x x':X} {p:x=x'} {Y : X -> Type} {y : Y x} {y' : Y x'} (s : PathOver p y y') : inversePathOver' (inversePathOver s) = s. Proof. induction p, s. reflexivity. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.PartA.