fact: Definition pr_comp (T : algebraic_theory) {m n : nat} (i : stn m) (f : stn m → T n) : pr_comp_ax (T : algebraic_theory_data) m n i f := pr122 T m n i f.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.Combinatorics.StandardFiniteSets UniMath.Combinatorics.Vectors UniMath.AlgebraicTheories.AlgebraicTheoryCategoryCore UniMath.Combinatorics.Tuples