Definition Equivalence_toTargetHomotopy {X Y} (f:Equivalence X Y) : ∏ y, f (Equivalence_toInverseFunction f y) = y := pr1 (pr2 (pr2 f)).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.Notations. Require Import UniMath.MoreFoundations.Tactics.