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 plift_conj {X}
(P Q : X -> Prop) (m : dist X) :
plift P m ->
plift Q m ->
plift (pand P Q) m.