fact: Definition functor_forall_pb {A B : Type} `{P : A -> Type} (f0 : B -> A) : (forall a:A, P a) -> (forall b:B, P (f0 b)) := functor_forall f0 (fun _ => idmap).
imports: Basics.Overture Basics.Equivalences Basics.PathGroupoids Basics.Tactics Basics.Trunc Basics.Contractible Basics.Trunc (istrunc_forall)