Definition triv2 {X Y} : X -> Y -> Prop :=
  fun _ _ => True.Definition pforall {I X} (P : I -> X -> Prop) : X -> Prop :=
  fun x => forall i, P i x.

Lemma impl_dist {X} (m : dist X) (P : Prop) (Q : X -> Prop) : (P -> plift Q m) -> plift (fun x => P -> Q x) m.