fact: Definition comp_pr_ax (T : algebraic_theory_data_cat) (n : nat) (f : data_set T n) : UU := data_comp f data_pr = f.
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