fact: Definition psnd_iterated_loops_prod (X Y : pType) {n} : psnd o* iterated_loops_prod X Y ==* fmap (iterated_loops n) psnd.
imports: HoTT.Basics HoTT.Types HFiber Factorization Truncations.Core Truncations.Connectedness HProp Pointed.Core Pointed.pEquiv WildCat Spaces.Nat.Core