fact: Definition pr {T : algebraic_theory_data} {n : nat} (i : stn n) : pr_ax T n i := pr12 T n i.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.Combinatorics.StandardFiniteSets UniMath.Combinatorics.Vectors UniMath.AlgebraicTheories.AlgebraicTheoryCategoryCore UniMath.Combinatorics.Tuples