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14
15 set "baseuri" "cic:/matita/RELATIONAL/NPlusList/props".
16
17 include "NPlusList/defs.ma".
18 (*
19 axiom npluslist_gen_cons: \forall l,q,r. 
20                             NPlusList (cons ? l q) r \to
21                             \exists p. NPlusList l p \land NPlus p q r.
22 (* 
23  intros. inversion H; clear H; intros;
24  [ id
25  | destruct.
26 *)
27
28 theorem npluslist_inj_2: \forall ns1,ns2,n. 
29                          NPlusListEq (cons ? ns1 n) (cons ? ns2 n) \to
30                          NPlusListEq ns1 ns2.
31  unfold NPlusListEq. intros. decompose.
32  lapply linear npluslist_gen_cons to H. decompose.
33  lapply linear npluslist_gen_cons to H2. decompose.
34 *)