proposition: Lemma is_univalent_algebras_disp : is_univalent_disp algebras_disp.
proof: Proof. use is_univalent_disp_from_SIP_data. - intro A. cbn. use impred_isaset. intro nm. cbn. use isaset_set_fun_space. - cbn. intros A op1 op2 ishomid1 _. use funextsec. intro nm. use funextfun. intro vec. unfold ishom in *. cbn in *. set (H1:= ishomid1 nm vec). rewrite staridfun in H1. apply H1. Qed.
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