fact: Definition equiv_functor_forall_id `{P : A -> Type} `{Q : A -> Type} (g : forall a, P a <~> Q a) : (forall a, P a) <~> (forall a, Q a) := equiv_functor_forall (equiv_idmap A) g.
imports: Basics.Overture Basics.Equivalences Basics.PathGroupoids Basics.Tactics Basics.Trunc Basics.Contractible Basics.Trunc (istrunc_forall)