proposition: Lemma runitor_lunitor_identity (a : C) : runitor (identity a) = lunitor (identity a).
proof: Proof. apply (vcomp_lcancel (lunitor _ )). { apply is_invertible_2cell_lunitor. } etrans. { apply pathsinv0. apply vcomp_lunitor. } etrans. { apply maponpaths_2. apply lwhisker_runitor_lunitor. } apply maponpaths_2. apply (!lunitor_is_lunitor_lwhisker _). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Examples.OpMorBicat UniMath.Bicategories.Core.Examples.OpCellBicat