fact: Definition Equivalence_toAdjointness {X Y} (f:Equivalence X Y) : ∏ x, maponpaths f (Equivalence_toSourceHomotopy f x) = Equivalence_toTargetHomotopy f (f x) := pr2 (pr2 (pr2 (pr2 f))).
imports: UniMath.Foundations.All UniMath.MoreFoundations.Notations UniMath.MoreFoundations.Tactics