fact: Definition comp_comp_ax (T : algebraic_theory_data_cat) (l m n : nat) (f_l : data_set T l) (f_m : stn l → data_set T m) (f_n : stn m → data_set T n) : UU := data_comp (data_comp f_l f_m) f_n = data_comp f_l (λ t_l, data_comp (f_m t_l) f_n).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total UniMath.Combinatorics.StandardFiniteSets UniMath.AlgebraicTheories.IndexedSetCategory