proposition: Lemma isinitial_termalgebra : Initial (category_algebras).
proof: Proof. exists (term_hSetalgebra σ). intro a. apply (iscontrhomsfromgterm (hSetalgebra_to_algebra a)). apply (has_supportsets_hSetalgebra a). Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.Univalence UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.Univalence UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.SIP UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.Limits.Initial UniMath.Algebra.Universal.TermAlgebras