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