fact: Definition free_object_theory_data : algebraic_theory_data := make_algebraic_theory_data (λ n, G (F (stnset n))) (λ n, η (stnset n)) (λ m n f g, #G (φ_adj_inv (make_adjunction _ H) (g : stnset m → _)) f).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Adjunctions.Core UniMath.Combinatorics.StandardFiniteSets UniMath.AlgebraicTheories.AlgebraicTheories UniMath.AlgebraicTheories.AlgebraCategoryCore UniMath.AlgebraicTheories.Algebras UniMath.AlgebraicTheories.AlgebraMorphisms UniMath.AlgebraicTheories.AlgebraicTheoryCategoryCore