fact: Definition gluing : hProp := ∀ (A : hsubtype Open) (g : ∏ U : A, F (pr1 U)), agree_on_intersections g ⇒ ∃ f, restrict A f ~ g.
imports: UniMath.Algebra.RigsAndRings UniMath.MoreFoundations.Subtypes UniMath.Topology.Topology UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Categories.PreorderCategories UniMath.CategoryTheory.Categories.Commring UniMath.AlgebraicGeometry.Topology