include "basic_1/tlist/defs.ma".
-theorem theads_tapp:
+lemma theads_tapp:
\forall (k: K).(\forall (v: T).(\forall (t: T).(\forall (vs: TList).(eq T
(THeads k (TApp vs v) t) (THeads k vs (THead k v t))))))
\def
(THeads k (TApp t1 v) t)) (THead k t0 t2))) (refl_equal T (THead k t0 (THeads
k (TApp t1 v) t))) (THeads k t1 (THead k v t)) H)))) vs)))).
-theorem tcons_tapp_ex:
+lemma tcons_tapp_ex:
\forall (ts1: TList).(\forall (t1: T).(ex2_2 TList T (\lambda (ts2:
TList).(\lambda (t2: T).(eq TList (TCons t1 ts1) (TApp ts2 t2)))) (\lambda
(ts2: TList).(\lambda (_: T).(eq nat (tslen ts1) (tslen ts2))))))