fact: Definition HomotopyGroup_type_ptype (n : nat) : HomotopyGroup_type n -> pType := match n return HomotopyGroup_type n -> pType with | 0 => fun X => X | n.+1 => fun G => G end.
imports: Basics Types Pointed HSet Modalities.Modality Truncations.Core Truncations.SeparatedTrunc Algebra.AbGroups WildCat