proposition: Lemma id_2mor_right {C : prebicategory} {a b : C} {f f' : a -1-> b} (alpha : f -2-> f') : alpha ;h; identity (identity1 b) = right_unitor f ;v; alpha ;v; inv_from_z_iso (right_unitor f').
proof: Proof. apply z_iso_inv_on_left. apply pathsinv0. apply (nat_trans_ax (right_unitor_trans a b)). Defined.
imports: UniMath.Foundations.PartD UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Categories.StandardCategories UniMath.CategoryTheory.HorizontalComposition UniMath.CategoryTheory.Equivalences.Core