fact: Definition roundtrip1_ob_nat_trans_data_pointwise_inv (sig : Signature_category C D D') : SignatureMor C D D' (signature_from_strong_functor (ab_strong_functor_from_signature sig)) sig.
imports: UniMath.Foundations.PartD UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.PointedFunctors UniMath.CategoryTheory.HorizontalComposition UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalCategoriesTensored UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalFunctorsTensored UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.Bicategories.MonoidalCategories.PointedFunctorsMonoidal UniMath.Bicategories.MonoidalCategories.Actions UniMath.Bicategories.MonoidalCategories.ConstructionOfActions UniMath.Bicategories.MonoidalCategories.ActionOfEndomorphismsInBicat UniMath.Bicategories.MonoidalCategories.ActionBasedStrength UniMath.Bicategories.MonoidalCategories.MonoidalFromBicategory UniMath.Bicategories.MonoidalCategories.ActionBasedStrongFunctorCategory UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Examples.BicatOfCats UniMath.SubstitutionSystems.Signatures UniMath.SubstitutionSystems.SignatureCategory UniMath.CategoryTheory.Core.Univalence