Definition top_more (a b c d : Z) :=
  (c <= a)%Z /\ (d < b)%Z \/ (c < a)%Z /\ (d <= b)%Z.

Lemma top_more_5 : forall a b c d : Z, (0 < c + d)%Z -> (a - c + (b - d) + c + d < a + b + c + d)%Z.