matita/matita/contribs/RELATIONAL/NPlusList/props.ma

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  14
  15
  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 *)