fact: Definition is_presheaf {T : algebraic_theory} (P : presheaf_data T) : UU := (∏ l m n a f g, op_op_ax T P (@op T P) l m n a f g) × (∏ n f, op_pr_ax T P (@op T P) n f).
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