fact: Definition sheaf_commring : UU := ∑ F : (open_category X)^op ⟶ commring_precategory, locality F ∧ gluing F.
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