fact: Definition pointed_hset_struct_laws {P : hset_struct} (Pt : pointed_hset_struct_data P) : UU := (∏ (X Y : hSet) (PX : P X) (PY : P Y), mor_hset_struct P PX PY (λ _, hset_struct_point Pt PY)) × (∏ (X Y : hSet) (f : X → Y) (PX : P X) (PY : P Y) (Pf : mor_hset_struct P PX PY f), f (hset_struct_point Pt PX) = hset_struct_point Pt PY).
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