Definition pullBackPointOverWithSection {X X':Type} (g : X -> X') {x:X} {x':X'} (r : g x = x') {Y : X' -> Type} (f : ∏ x', Y x') : pullBackPointOver g r (f x') = pullBackSection g f x. Proof. induction r. reflexivity. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.PartA.