proposition: Proposition hset_equalizer_pr_struct {X Y : hSet} {f g : X → Y} {PX : P X} {PY : P Y} (Pf : mor_hset_struct P PX PY f) (Pg : mor_hset_struct P PX PY g) : mor_hset_struct P (hset_struct_equalizer EP Pf Pg) PX pr1.
proof: Proof. exact (pr12 EP X Y f g PX PY 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