Definition pullBackPathOverPoint {X X':Type} (g : X -> X') {x:X} {x':X'} (r : g x = x') {Y : X' -> Type} {y y' : Y x'} (t : y = y') : pullBackPointOver g r y = pullBackPointOver g r y'. Proof. apply maponpaths; assumption. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.PartA.