proposition: Proposition pointed_hset_struct_preserve_point {P : hset_struct} (Pt : pointed_hset_struct P) {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.
proof: Proof. exact (pr22 Pt X Y f PX PY Pf). 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