proposition: Lemma restriction_paths (H : V ⊆ U) (s : section U) {p : Spec R} (HUp : U p) (HVp : V p) : restriction_section H s (p ,, HVp) = s (p ,, HUp).
proof: Proof. induction (proofirrelevance_hProp _ (H _ HVp) HUp). apply idpath. Qed.
imports: UniMath.Algebra.RigsAndRings UniMath.Algebra.RigsAndRings.Ideals UniMath.MoreFoundations.AxiomOfChoice UniMath.MoreFoundations.Subtypes UniMath.Topology.Topology UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Categories.Commring UniMath.AlgebraicGeometry.Topology UniMath.AlgebraicGeometry.SheavesOfRings