fact: Definition is_algebra {T : algebraic_theory} (A : algebra_data T) : UU := (∏ m n f g a, comp_action_ax T A (@action T A) m n f g a) × (∏ n i a, pr_action_ax T A (@action T A) n i a).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.Combinatorics.StandardFiniteSets UniMath.Combinatorics.Vectors UniMath.AlgebraicTheories.AlgebraicTheories UniMath.AlgebraicTheories.AlgebraCategoryCore