fact: Definition isconnected_iterated_fmap_loops `{Univalence} (k : nat) (A B : pType) (f : A ->* B) : forall n : trunc_index, IsConnMap (trunc_index_inc' n k) f -> IsConnMap n (fmap (iterated_loops k) f).
imports: HoTT.Basics HoTT.Types HFiber Factorization Truncations.Core Truncations.Connectedness HProp Pointed.Core Pointed.pEquiv WildCat Spaces.Nat.Core