fact: Definition iff_functor_forall {A : Type} {P Q : A -> Type} (f : forall a, P a <-> Q a) : (forall a, P a) <-> (forall a, Q a).
imports: Basics.Overture Basics.Equivalences Basics.PathGroupoids Basics.Tactics Basics.Trunc Basics.Contractible Basics.Trunc (istrunc_forall)