proposition: Lemma lunitor_natural (a b : C) (f g : C ⟦ a, b ⟧) (x : f ==> g) : id2 (identity a) ⋆ x • lunitor g = lunitor f • x.
proof: Proof. unfold hcomp. rewrite <- vassocr. rewrite vcomp_lunitor. rewrite vassocr. apply maponpaths_2. rewrite id2_rwhisker. apply id2_left. Qed.
imports: UniMath.Tactics.EnsureStructuredProofs UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.PrecategoryBinProduct