proposition: Lemma StrengthForSignature_eq (H : [C, D'] ⟶ [C, D] ) (sθ1 sθ2 : StrengthForSignature H) : pr1 sθ1 = pr1 sθ2 -> sθ1 = sθ2.
proof: Proof. intro Heq. apply subtypePath; trivial. intro θ. apply isapropdirprod. + apply isaprop_θ_Strength1_int. + apply isaprop_θ_Strength2_int. Qed.
imports: UniMath.Foundations.PartD UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.PointedFunctors UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.HorizontalComposition UniMath.CategoryTheory.BicatOfCatsElementary UniMath.SubstitutionSystems.Notation