fact: Definition preserves_chosen_bincoproduct {C₁ C₂ : category} (HC₁ : BinCoproducts C₁) (F : C₁ ⟶ C₂) : UU := ∏ (x y : C₁), isBinCoproduct C₂ (F x) (F y) (F (BinCoproductObject (HC₁ x y))) (#F (BinCoproductIn1 (HC₁ x y))) (#F (BinCoproductIn2 (HC₁ x y))).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Equalizers UniMath.CategoryTheory.Limits.Pullbacks UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Products UniMath.CategoryTheory.Limits.Coequalizers UniMath.CategoryTheory.Limits.Coproducts UniMath.CategoryTheory.Limits.Pushouts UniMath.CategoryTheory.Adjunctions.Core