X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FUnified-Sub%2FLift%2Ffun.ma;h=d26bdb0e704b2dbb19f4ea00e1fe006ec99d8d77;hb=5c1b44dfefa085fbb56e23047652d3650be9d855;hp=fd794fe9ba18ad784e24a589c2f57e1fde240c6a;hpb=2b95f946837707c6ad30d1b8317d73c55cda3dc8;p=helm.git

diff --git a/helm/software/matita/contribs/LAMBDA-TYPES/Unified-Sub/Lift/fun.ma b/helm/software/matita/contribs/LAMBDA-TYPES/Unified-Sub/Lift/fun.ma
index fd794fe9b..d26bdb0e7 100644
--- a/helm/software/matita/contribs/LAMBDA-TYPES/Unified-Sub/Lift/fun.ma
+++ b/helm/software/matita/contribs/LAMBDA-TYPES/Unified-Sub/Lift/fun.ma
@@ -12,26 +12,34 @@
 (*                                                                        *)
 (**************************************************************************)
 
-set "baseuri" "cic:/matita/LAMBDA-TYPES/Unified-Sub/Lift/fun".
+
 
 include "Lift/inv.ma".
 
 (* Functional properties ****************************************************)
-(*
+
 theorem lift_total: \forall l, t, i. \exists u. Lift l i t u.
  intros 2. elim t; clear t;
- [ 
-*)
+ [ autobatch
+ | lapply (nle_gt_or_le n i). decompose;
+   [ autobatch
+   | lapply (nplus_total l n). decompose. autobatch
+   ]
+ | lapply (H i1). lapply (H1 (succ i1)). decompose. autobatch
+ | lapply (H i1). lapply (H1 i1). decompose. autobatch  
+ ].
+qed.
+
 theorem lift_mono: \forall l,i,t,t1. Lift l i t t1 \to
                    \forall t2. Lift l i t t2 \to
                    t1 = t2.
  intros 5. elim H; clear H i t t1;
  [ lapply linear lift_inv_sort_1 to H1
  | lapply linear lift_inv_lref_1_gt to H2, H1
- | lapply linear lift_inv_lref_1_le to H3, H1, H2
+ | lapply linear lift_inv_lref_1_le_nplus to H3, H1, H2
  | lapply linear lift_inv_bind_1 to H5. decompose
  | lapply linear lift_inv_flat_1 to H5. decompose
- ]; subst; auto.
+ ]; destruct; autobatch.
 qed.
 
 theorem lift_inj: \forall l,i,t1,t. Lift l i t1 t \to
@@ -40,10 +48,10 @@ theorem lift_inj: \forall l,i,t1,t. Lift l i t1 t \to
  intros 5. elim H; clear H i t1 t;
  [ lapply linear lift_inv_sort_2 to H1
  | lapply linear lift_inv_lref_2_gt to H2, H1
- | lapply nle_nplus to H2 as H. (**)
+ | lapply nle_nplus to H2 as H.
    lapply linear nle_trans to H1, H as H0.
-   lapply lift_inv_lref_2_le to H3, H0, H2
+   lapply lift_inv_lref_2_le_nplus to H3, H0, H2
  | lapply linear lift_inv_bind_2 to H5. decompose
  | lapply linear lift_inv_flat_2 to H5. decompose
- ]; subst; auto.
+ ]; destruct; autobatch.
 qed.