proposition: Lemma isaprop_isCoproduct {C : category} {I : UU} {i : I -> C} {x : C} (j : ∏ i0 : I, C ⟦ i i0, x ⟧) : isaprop (isCoproduct I C i x j).
proof: Proof. repeat (apply impred; intro). apply isapropiscontr. Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Sets UniMath.MoreFoundations.All UniMath.Combinatorics.Lists UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Products UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Coproducts UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.exponentials UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Monads.Monads UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.Colimits UniMath.CategoryTheory.Categories.HSET.Limits UniMath.CategoryTheory.Categories.HSET.Structures UniMath.CategoryTheory.Categories.HSET.Univalence UniMath.CategoryTheory.Categories.StandardCategories UniMath.CategoryTheory.Groupoids UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.FunctorCoalgebras UniMath.CategoryTheory.Limits.Graphs.Limits UniMath.CategoryTheory.Chains.Cochains UniMath.CategoryTheory.Chains.CoAdamek UniMath.CategoryTheory.Chains.OmegaContFunctors UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Actegories.Actegories UniMath.CategoryTheory.Actegories.ConstructionOfActegories UniMath.CategoryTheory.Actegories.MorphismsOfActegories UniMath.CategoryTheory.Actegories.CoproductsInActegories UniMath.CategoryTheory.Actegories.ConstructionOfActegoryMorphisms UniMath.CategoryTheory.Monoidal.CategoriesOfMonoids UniMath.CategoryTheory.Monoidal.Examples.MonoidalPointedObjects UniMath.CategoryTheory.Monoidal.Examples.EndofunctorsMonoidalElementary UniMath.CategoryTheory.Monoidal.Examples.MonadsAsMonoidsElementary UniMath.SubstitutionSystems.EquivalenceLaxLineatorsHomogeneousCase UniMath.SubstitutionSystems.MultiSorted_alt UniMath.SubstitutionSystems.MultiSorted_actegorical UniMath.SubstitutionSystems.MultiSortedMonadConstruction_alt UniMath.SubstitutionSystems.GeneralizedSubstitutionSystems UniMath.SubstitutionSystems.ConstructionOfGHSS UniMath.SubstitutionSystems.SigmaMonoids UniMath.SubstitutionSystems.ContinuitySignature.ContinuityOfMultiSortedSigToFunctor UniMath.SubstitutionSystems.ContinuitySignature.MultiSortedSignatureFunctorEquivalence UniMath.SubstitutionSystems.ContinuitySignature.CommutingOfOmegaLimitsAndCoproducts UniMath.SubstitutionSystems.ContinuitySignature.InstantiateHSET