proposition: Lemma projections_is_theory : is_algebraic_theory projections_theory_data.
proof: Proof. now use make_is_algebraic_theory; repeat intro. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Functors UniMath.Combinatorics.StandardFiniteSets UniMath.AlgebraicTheories.AlgebraicTheories UniMath.AlgebraicTheories.AlgebraicTheoryCategoryCore UniMath.AlgebraicTheories.Algebras