proposition: Proposition transportf_hset_struct_point {P : hset_cartesian_struct} (Pt : pointed_hset_struct P) {X Y : hSet} (p : X ≃ Y) (PX : P X) : hset_struct_point Pt (transportf P (univalence_hSet p) PX) = p (hset_struct_point Pt PX).
proof: Proof. exact (!(pointed_hset_struct_preserve_point Pt (transportf_struct_weq_on_weq P p PX))). 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