proposition: Proposition hset_binary_coprod_struct_sumofmaps {X Y Z : hSet} {PX : P X} {PY : P Y} {PZ : P Z} {f : X → Z} {g : Y → Z} (Pf : mor_hset_struct P PX PZ f) (Pg : mor_hset_struct P PY PZ g) : mor_hset_struct P (hset_struct_binary_coprod EP PX PY) PZ (sumofmaps f g).
proof: Proof. exact (pr222 EP X Y Z PX PY PZ f g Pf Pg). Qed.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Categories.HSET.All UniMath.CategoryTheory.Limits.Equalizers UniMath.CategoryTheory.Limits.Coequalizers UniMath.CategoryTheory.Limits.Products UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Coproducts UniMath.CategoryTheory.exponentials UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Binproducts UniMath.CategoryTheory.Monads.Monads UniMath.CategoryTheory.Monads.MonadAlgebras UniMath.CategoryTheory.DisplayedCats.Structures.CartesianStructure