proposition: Lemma theory_is_presheaf (T : algebraic_theory) : is_presheaf (theory_presheaf_data T).
proof: Proof. use make_is_presheaf. - apply comp_comp. - apply comp_pr. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.Combinatorics.StandardFiniteSets UniMath.AlgebraicTheories.AlgebraicTheories UniMath.AlgebraicTheories.AlgebraicTheoryMorphisms UniMath.AlgebraicTheories.IndexedSetCategory UniMath.AlgebraicTheories.PresheafCategoryCore