proposition: Lemma L_map_class_R_map_class_lp {C : category} {n : nwfs C} {a b c d : C} {f : a --> b} {g : c --> d} (hf : nwfs_L_maps_class n _ _ f) (hg : nwfs_R_maps_class n _ _ g) : lp f g.
proof: Proof. use (hf); clear hf; intro hf. use (hg); clear hg; intro hg. intros h k Hhk. apply hinhpr. exact (L_map_R_map_elp hf hg h k Hhk). Qed.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Monads.Monads UniMath.CategoryTheory.Monads.MonadAlgebras UniMath.CategoryTheory.Monads.Comonads UniMath.CategoryTheory.Monads.ComonadCoalgebras UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.Limits.Coproducts UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Chains.Chains UniMath.CategoryTheory.DisplayedCats.Examples.Arrow UniMath.CategoryTheory.DisplayedCats.Examples.Three UniMath.ModelCategories.MorphismClass UniMath.ModelCategories.Retract UniMath.ModelCategories.Lifting UniMath.ModelCategories.WFS UniMath.ModelCategories.NWFS UniMath.ModelCategories.Helpers