lemma tps_fwd_tw: ∀L,T1,T2,d,e. L ⊢ T1 [d, e] ≫ T2 → #[T1] ≤ #[T2].
#L #T1 #T2 #d #e #H elim H normalize -H L T1 T2 d e
-[ //
-| /2/
-| /3 by monotonic_le_plus_l, le_plus/ (**) (* just /3/ is too slow *)
-| /3 by monotonic_le_plus_l, le_plus/ (**) (* just /3/ is too slow *)
-]
+/3 by monotonic_le_plus_l, le_plus/ (**) (* just /3/ is too slow *)
qed-.
(* Basic_1: removed theorems 25: