proposition: Lemma preIt_ok : # L inF · preIt = ψ μF preIt.
proof: Proof. now apply SS_imp_S; intro n; apply eqSS. Qed.
imports: UniMath.Tactics.EnsureStructuredProofs UniMath.Foundations.PartD UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.FunctorAlgebras UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Chains.Chains UniMath.CategoryTheory.Chains.Adamek UniMath.CategoryTheory.yoneda UniMath.CategoryTheory.HorizontalComposition UniMath.CategoryTheory.whiskering