fact: Definition path_subgroup_generated `{Univalence} {G : Group} (X Y : G -> Type) (K : forall g, Trunc (-1) (X g) <-> Trunc (-1) (Y g)) : subgroup_generated X = subgroup_generated Y.
imports: Basics Types HFiber WildCat.Core Truncations.Core Algebra.Groups.Group TruncType