proposition: Proposition all_inl_directed_set_map_eq (i : D) (x : X) (p : D i = inl x) : all_inl_directed_set_map i = x.
proof: Proof. unfold all_inl_directed_set_map. refine (_ @ all_inl_directed_set_map_eq_help i x (!p)). induction p. apply idpath. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.OrderTheory.Posets UniMath.OrderTheory.DCPOs.Core.DirectedSets UniMath.OrderTheory.DCPOs.Core.Basics UniMath.OrderTheory.DCPOs.Core.ScottContinuous