`{Univalence} (n : nat) {X Y : pType} (f : X ->* Y) {C : IsConnMap n f} : IsSurjection (fmap (iterated_loops (n.+1)) f). Proof. apply isconnected_iterated_fmap_loops. cbn. rewrite trunc_index_inc'_0n; assumption. Defined.
Require Import Basics Types Pointed HSet. Require Import Modalities.Modality. Require Import Truncations.Core Truncations.SeparatedTrunc. Require Import Algebra.AbGroups. Require Import WildCat.