Goal:
  
  ============================
   (forall (A : Type) (P : tree A -> Type),
    P Empty ->
    (forall l : tree A,
     P l ->
     forall (o : option A) (r : tree A),
     P r -> not_trivially_empty l o r -> P (Node l o r)) ->
    tree' A -> A -> tree' A -> True)


DEBUG:Going to execute:
simplify *