fact: Definition make_is_algebraic_theory (T : algebraic_theory_data) (H1 : ∏ l m n f_l f_m f_n, comp_comp_ax T l m n f_l f_m f_n) (H2 : ∏ m n i f, pr_comp_ax T m n i f) (H3 : ∏ n f, comp_pr_ax T n f) : is_algebraic_theory T := H1 ,, H2 ,, H3.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.Combinatorics.StandardFiniteSets UniMath.Combinatorics.Vectors UniMath.AlgebraicTheories.AlgebraicTheoryCategoryCore UniMath.Combinatorics.Tuples